
Papers by Jonathan D. H. Smith
197580 /
198185 /
198688 /
1989 /
199091 /
199293 /
199495 /
1996 /
199799 /
2000 /
2001 /
2002 /
2003 /
2004 /
2005 /
2006 /
2007 /
2008 /
2009 /
2010 /
2011 /
2012 /
2013 /
2014 /
2015 /
2016 /
2017 /
2018 /
2019 /
to appear
Links to abstracts or full text versions of most later papers are provided. Access to some full text versions may be limited to subscribers. In case of difficulty, please visit the Post Office.


Centraliser rings of multiplication groups on quasigroups, Math.
Proc. Camb. Phil. Soc. 79 (1976), 427431.

Finite distributive quasigroups, Math. Proc. Camb. Phil. Soc. 80
(1976), 3741.

On the nilpotence class of commutative Moufang loops, Math. Proc.
Camb. Phil. Soc. 84 (1978), 387404.

A second grammar of associators, Math. Proc. Camb. Phil. Soc. 84
(1978), 405415.

(with G. Czédli) On the uniqueness of Mal'cev polynomials,
in Colloq. Math. Soc. János Bolyai 28. "Finite Algebra and Multiplevalued
Logic'', Szeged, 1979.

Finite equationally complete entropic quasigroups, pp. 345356 in "Contributions
to General Algebra'' (H. Kautschitsch, W. B. Müller, W. Nöbauer, eds.),
Johannes Heyn, Klagenfurt, 1979.
Click here for local copy (700KB).

Exterior algebra representations of commutative Moufang loops, Arch.
Math. 34 (1980), 393398.
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In defence of eponymy, Math. Intelligencer 3 (1981), 8990.

(with A.B. Romanowska) Bisemilattices of subsemilattices, J. Alg.
70 (1981), 7888.
Click here for local copy.

Commutative Moufang loops and Bessel functions, Inv. Math. 67 (1982),
173187.
Available online.

(with K.W. Johnson) Characters of finite quasigroups, Eur. J. Comb.
5 (1984), 4350.
Available online.

Two enumeration principles for free algebras, Acta Univ. Carolinae
(Math. et Phys.) 25 (1984), 5358.
Available online.

(with A.B. Romanowska) Distributive lattices, generalizations, and
related nonassociative algebras, Houston J. Math. 11 (1985), 367383.

(with A.B. Romanowska) From affine to projective geometry via convexity, pp. 255269 in "Universal Algebra and Lattice Theory'' (ed. S. D. Comer), Springer Lecture Notes in Mathematics, Berlin, 1985.
Click here for local copy (5MB).

Commutative Moufang Loops: the first 50 years, Algebras, Groups
and Geometries 2 (1985), 209234.

(with K.W. Johnson) Characters of finite quasigroups II: induced characters,
Eur. J. Comb. 7 (1986), 131137.
Available online.

(with K.W. Johnson) A note on character induction in association schemes,
Eur. J. Comb. 7 (1986), 139.
Available online.

Modal theory, partial orders, and digital geometry, in "The Mathematical
Foundations of Programming Semantics'' (A. Melton, ed.), Springer Lecture
Notes in Computer Science, Berlin, 1986.

Minimal trees of given search number, Discrete Math. 66 (1987),
191202.
Available online.

Multilinear algebras and Lie's theorem for formal nloops, Arch.
Math. 51 (1988), 169177.
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Quasigroups, association schemes, and Laplace operators on almost periodic
functions, pp. 205218 in "Algebraic, Extremal and Metric Combinatorics 1986''
(M.M. Deza, P. Frankl and I.G. Rosenberg, eds.), Cambridge University Press, Cambridge,
1988.

(with K.W. Johnson) Characters of finite quasigroups III: quotients
and fusion, Eur. J. Comb. 10 (1989), 4756.
Available online.

(with A.B. Romanowska) Subalgebra systems of idempotent entropic algebras,
J. Alg. 120 (1989), 247262.
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(with A.B. Romanowska) On the structure of subalgebra systems of idempotent
entropic algebras, J. Alg. 120 (1989), 263283.
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(with K.W. Johnson) Characters of finite quasigroups IV: products and
superschemes, Eur. J. Comb. 10 (1989), 257263.
Available online.

Induced class functions are conditional expectations, Eur. J. Comb.
10 (1989), 293296.

(with A.B. Romanowska) Support functions and ordinal products,
Geom. Dedicata 30 (1989), 281296.
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(with D.R. Brooks et al.) Entropy and information in evolving biological
systems, Biology and Philosophy 4 (1989), 407432.

(with K.W. Johnson) Characters of finite quasigroups V: linear characters,
Eur. J. Comb. 10 (1989), 449456.
Available online.

(with A.B. Romanowska) On the structure of barycentric algebras,
Houston J. Math. 16 (1990), 431448.

Entropy, character theory and centrality of finite quasigroups,
Math. Proc. Camb. Phil. Soc. 108 (1990), 435443.

(with K.W. Johnson and S.Y. Song) Characters of finite quasigroups
VI: critical examples and doubletons, Eur. J. Comb. 11 (1990), 267275.
Available online.

(with A.B. Romanowska) Communicating processes and entropic algebras,
Fund. Informaticae 13 (1990), 263274.
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Combinatorial characters of quasigroups, pp. 163187 in "Coding Theory and Design
Theory, Part I: Coding Theory'' (ed. D. RayChaudhuri), Springer, New York, NY,
1990.
Available online.

(with A.B. Romanowska) Differential groupoids, pp. 283290 in
"Contributions to General Algebra 7" (D. Dorninger, G. Eigenthaler,
H.K. Kaiser and W.B. Müller, eds.), HölderPichlerTempsky, Vienna,
1991.
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Finite codes and groupoid words, Eur. J. Comb. 12 (1991), 331339.

Skein polynomials and entropic right quasigroups, Demonstr. Math.
24 (1991), 241246.

(with A.B. Romanowska) On the structure of semilattice sums, Czech.
J. Math. 41 (116) (1991), 2443.
Available online
.

(with J.D. Phillips) The endocenter and its applications to quasigroup
representation theory, Comm. Math. Univ. Carol. 32 (1991), 417422.
Available online
.

(with X.R. Shen) Representation theory of comtrans algebras, J.
Pure and Appl. Alg. 80 (1992), 177195.
Available online.

Quasigroups and quandles, Discrete Math. 109 (1992), 277282.
Available online.
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Loop transversals to linear codes, J. Comb., Info. and System Sciences
17 (1992), 18.

(with X.R. Shen) Comtrans algebras and bilinear forms, Arch. Math.
59 (1992), 327333.
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(with X.R. Shen) Simple multilinear algebras, rectangular matrices
and Lie algebras, J. Alg. 160 (1993), 424433.
Available online.

(with A.B. Romanowska) Separable modes, Algebra Universalis 30 (1993), 6171.
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Comtrans algebras and their physical applications, Banach Center Publications
28 (1993), 319326.
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Association schemes, superschemes, and relations invariant under permutation
groups, Eur. J. Comb., 15 (1994), 285291.
Available online.

(with M.F. Hobart) Vector lattices and rooted trees, Algebra Universalis
34 (1995),110117.
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(with A. Dharwadker) Split extensions and representations of Moufang
loops, Comm. Alg. 23 (1995), 42454255.

(with L. Thur) Subdifferentiation of monotone functions from semilattices
to distributive lattices, Order 12 (1995), 307313.
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A left loop on the 15sphere, J. Alg. 176 (1995), 128138.
Available online.

(with A. Pilitowska and A.B. Romanowska) Affine spaces and algebras
of subalgebras, Algebra Universalis 34 (1995), 527540.
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(with M.A. Akivis et al.) Vladislav V. Goldberg, on the occasion of
his 60th birthday and 35 years of scientific activity, Webs and Quasigroups,
1995, 510.

(with X.R. Shen) Simple algebras of Hermitian operators, Arch.
Math. 65 (1995), 534539.
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Competition and the canonical ensemble, Math. Biosci. 133 (1996), 6983.
Available online.

(with R. Rossmanith) Alternative approaches to alternative algebras,
Acta Sci. Math. 62 (1996), 145151.
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(with T.S.R. Fuad) Quasigroups, right quasigroups, and category coverings,
Algebra Universalis 35 (1996), 233248.
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(with A.A. Ungar) Abstract spacetimes and their Lorentz groups,
J. Math. Phys. 37 (1996), 30733098.
Available online.

(with A.B. Romanowska) Semilatticebased dualities, Studia Logica
56 (1996), 225261.
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(with F.A. Hummer) Greedy loop transversal codes, metrics, and lexicodes,
J. Comb. Math. Comb. Comp. 22 (1996), 143155.

(with F.L. Hsu and F.A. Hummer) Logarithms, syndrome functions, and
the information rates of greedy loop transversal codes, J. Comb. Math.
Comb. Comp. 22 (1996), 3349.

(with A.B. Romanowska) Duality for semilattice representations,
J. Pure Appl. Algebra, 115 (1997), 289308.
Available online.
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Homotopy and semisymmetry of quasigroups, Algebra Universalis 38 (1997),
175184.
Available online.
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Canonical ensembles, evolution of competing species, and the arrow of
time, pp. 141153
in "Evolutionary Systems: Biological and Epistemological Perspectives
on Selection and Selforganization" (eds. G. van de Vijver, S.N. Salthe
and M. Delpos), Kluwer, Dordrecht, 1998.

Demography and the canonical ensemble, Math. Biosci. 153 (1998),151161.
Available online.

(with J.D. Phillips) Quasiprimitivity and quasigroups, Bull. Australian
Math. Soc. 59 (1999), 473475.
Click here for errata.

Wreath products along the perioddoubling route to chaos, Ergodic
Th. and Dynamical Systems 19 (1999), 16171636.

Modes and Modals, Discuss. Math. 19 (1999), 940. Online abstract.

Speed's orbit problem: variations on themes of Burnside, Eur. J.
Comb. 20 (1999), 867873.
Available online.

Quasigroup actions: Markov chains, pseudoinverses, and linear representations,
Southeast Asia Bulletin of Mathematics 23 (1999), 719729 (invited paper).

On the evolution of semiotic capacity, pp. 283309 in "Semiotics,
Evolution, Energy" (ed. E. Taborsky), Shaker Verlag, Aachen, 1999.

Classical and quantum statistical mechanics of permutation representations,
pp. 337348 in "Groups Korea '98, Proceedings of the International Conference,
Pusan National University, Pusan, Korea, August 1016, 1998" (eds. Y.G.
Baik, D.L. Johnson, A.C. Kim), de Gruyter, Berlin, 2000.

(with M. Saniga) Plane cubic curves, threewebs and the dimensionality
of spacetime, Noetic J. 3 (2000), 120.

A class of quasigroups solving a problem of ergodic theory, Comment.
Math. Univ. Carol. 41 (2000), 409414.
Available online.

Loops and quasigroups: Aspects of current work and prospects for the
future, Comment. Math. Univ. Carol. 41 (2000), 415427.
Available online.

(with T.S.R. Fuad et al.) Simple multilinear algebras and hermitian
operators, Comment. Math. Univ. Carol. 41 (2000), 251259.
Available online.

Time in biological systems, pp. 7596 in "Studies on the Structure
of Time" (eds. R. Buccheri, V. di Gesù, M. Saniga), Kluwer, New
York, NY, 2000.

(with K.B. Athreya) Canonical distributions and phase transitions,
Discuss. Math. Prob. and Stat. 20 (2000), 167176.
Online abstract.
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(with M.A. Akivis et al.) V.V. Goldberg, On the occasion of his 65th
birthday, Webs and Quasigroups, 2000, 713.

Loop transversal codes, Cubo 3 (2001), 137148 (invited expository
paper). Click here for local copy.

Some observations on the concepts of informationtheoretic entropy and
randomness,
Entropy 3 (2001),
pp. 111 (electronic journal).

Information theory and its applications to biology, finance and physics
(invited conference report),
Entropy 3 (2001),
pp. 6465 (electronic journal).

(with A.B. Romanowska) Embedding sums of cancellative modes into functorial
sums of affine spaces, pp. 127139 in "Unsolved Problems on Mathematics
for the 21st Century  A Tribute to Kiyoshi Iséki's 80th Birthday" (eds.
J. M. Abe and S. Tanaka), IOS Press, Amsterdam, 2001.

Quasigroup homogeneous spaces and linear representations, J. Alg. 241
(2001), 193203.
Available online.

Regular orbits in powers of permutation representations, Arch. Math. 77
(2001), 138142.
Available online.

(with X.R. Shen) Simple algebras of invariant operators, Alg. Colloq. 8 (2001), 285291.

Orbit decomposition of subset actions, Discrete Math. 247 (2002), 251254.
Available online.

Three key questions about complex systems,
Semiotics, Evolution,
Energy, and Development 2 (2002) No.3, 13 pages (electronic journal).
Click here for local copy.

(with J.Y. Choi) Trirestricted numbers and powers of permutation representations, J. Comb. Math. Comb. Comp. 42 (2002), 113125.

Continued fractions, fibered automata, and a theorem of Rosenberg,
MultipleValued Logic 8 (2002), 503515.

A coalgebraic approach to quasigroup permutation representations, Algebra Universalis 48 (2002), 427438.
Available online.
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(with M.A. Akivis et al.) Alexander M. Shelekhov, Webs and Quasigroups, 2002, 710.

Greedy loop transversal codes (conference report), Proceedings of the Fortieth Annual Allerton Conference on Communication, Control, and Computing, University of Illinois, 2003, 14589.

(with D.H. Choi) Greedy loop transversal codes for correcting error bursts, Discrete Math. 264 (2003), 3743.
Available online.
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(with J.Y. Choi) On the unimodality and combinatorics of Bessel numbers, Discrete Math. 264 (2003), 4553. Available online.

Time in biology and physics, pp. 145152 in "The Nature of Time: Geometry, Physics and Perception" (eds. R. Buccheri, M. Saniga, W.M. Stuckey), Kluwer, Dordrecht, 2003.

Permutation representations of loops, J. Alg. 264 (2003), 342357.
Available online.

On the dimension of finite permutation group actions, Beiträge zur Algebra und Geometrie 44 (2003), 99109.
Available online.
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Quasigroup permutation representations, Quasigroups and Related Systems 10 (2003), 115134.
Online abstract.

(with K.J. Pszczoła and A.B. Romanowska) Duality for some free modes, Discuss. Math. Gen. Alg. and Appl. 23 (2003), 4561. Available online.

(with D.H. Choi) Support functions of general convex sets, Algebra
Universalis 49 (2003), 305319.
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On the characterisation of Mal'tsev and JónssonTarski Algebras, Discuss. Math. Gen. Alg. and Appl. 23 (2003), 149161.
Available online.
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(with B. Im) Simple ternary Grassmann algebras, Alg. Colloq. 11 (2004), 223230.
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A macroscopic approach to demography, J. Math. Biol. 48 (2004), 105118.
Available online.

(with K.J. Pszczoła and A.B. Romanowska) Duality for quadrilaterals, Contributions to General Algebra 13 (2004), 127134.
Available online.

(with B. Im) Orthogonal ternary algebras and Thomas sums, Alg. Colloq. 11 (2004), 287296.
Click here for local copy.

(with K.W. Johnson) Characters of finite quasigroups VII: permutation characters, Comment. Math. Univ. Carol. 45 (2004), 265273.
Available online.

(with B. Kivunge) Subloops of sedenions, Comment. Math. Univ. Carol. 45 (2004), 295302.
Available online.

Representation theory of quasigroups, Sci. Math. Japonicae 60 (2004), 171204 (invited survey paper).

The Burnside algebra of a quasigroup, J. Alg. 279 (2004), 383401.
Available online.

Characters of central piques, J. Alg. 279 (2004), 437450.
Available online.

Extension theory in Mal'tsev varieties, pp. 517522 in "Galois Theory, Hopf Algebras, and Semiabelian Categories" (eds. G. Janelidze, B. Pareigis and W. Tholen), Fields Institute Communications Volume 43, 2004.

(with B. Im) Comtrans algebras, Thomas sums and bilinear forms, Arch. Math. 84 (2005), 107117.
Available online.
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Patterns of information storage and senescence, in "Proceedings of FIS2005, The Third Conference on the Foundations of Information Science, Paris, July 47, 2005" (ed. M. Petitjean), Electronic Edition, ISBN 3906980170. Available online.

(with J.Y. Choi) On the combinatorics of multirestricted numbers, Ars Combin. 75 (2005), 4563.

Symmetry and entropy: a hierarchical perspective, Symmetry 16 (2005), 3745.

(with B. Im) Trilinear forms and the space of comtrans algebras, Honam Math. J. 27 (2005), 595602.

(with J.Y. Choi, L. Long and S.H. Ng) Reciprocity for multirestricted Stirling numbers, J. Combin. Theory Ser. A 113 (2006), 10501060.
Available online.

Permutation representations of left quasigroups, Algebra Universalis 55 (2006), 387406.
Click here for local copy.

(with A.B. Romanowska) Duality for central piques, Quasigroups and Related Systems 14 (2006), 8189.

(with J.Y. Choi) Recurrences for trirestricted numbers, J. Comb. Math. Comb. Comp. 58 (2006), 311.

Quasigroups and approximate symmetry, J. Comb. Math. Comb. Comp. 58 (2006), 5564.

(with Yu.M. Movsisyan and A.B. Romanowska) Superproducts, hyperidentities, and algebraic structures of logic programming, J. Comb. Math. Comb. Comp. 58 (2006), 101111.
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(with R. Aydinyan) Loop transversal codes for error detection, J. Comb. Math. Comb. Comp. 58 (2006), 153159.

(with G. Bińczak and A.B. Romanowska) Poset extensions, convex sets, and semilattice presentations, Discrete Math. 307 (2007), 111.
Available online.

Four lectures on quasigroup representations, Quasigroups and Related Systems 15 (2007), 1142.
Click here for corrected local copy.

Axiomatization of quasigroups, Discuss. Math. Gen. Alg. and Appl. 27 (2007), 2133.
Available online.

(with E. Orłowska and A.B. Romanowska) Abstract barycentric algebras, Fund. Informaticae 81 (2007), 257273.

(with K.W. Johnson) On the category of weak Cayley table morphisms between groups, Selecta Mathematica 13 (2007), 5767.
Available online.
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(with B. Im and H. Ko) Semisymmetrizations of abelian group isotopes, Taiwanese J. Math. 11 (2007), 15291534.
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Click here for errata.

Evans' Normal Form Theorem revisited, Int. J. Alg. & Comp. 17 (2007), 15771592.
Available online.
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(with B. Im) Generic adjoints in comtrans algebras of bilinear spaces, Linear Algebra Appl. 428 (2008), 953961.
Available online.

Ternary quasigroups and the modular group, Comment. Math. Univ. Carol. 49 (2008), 309317.
Available online.
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(with M. Dağlı and D. D'Alessandro) A general framework for recursive decompositions of unitary quantum evolutions, J. Phys. A: Math. Theor. 41 (2008).
Available online.

(with K.O. Chung) Weak homomorphisms and graph coalgebras, Arabian J. Sci. and Eng. 33 (2008), 107122.
Available online.

Quasigroup homotopies, semisymmetrization, and reversible automata, Int. J. Alg. & Comp. 18 (2008), 12031221.
Available online.
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(with B. Im) Trilinear products and comtrans algebra representations, Linear Algebra Appl. 430 (2009), 1726.
Available online.

(with D. Doan et al.) Partial semigroups and primality indicators in the fractal generation of binomial coefficients to a prime square modulus, Demonstr. Math. 42 (2009), 2137.
Available online.
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(with A.B. Romanowska) Barycentric algebras and gene expression, pp. 2027 in "WILF 2009" (eds. V. di Gesù, S.K. Pal and A. Petrosino), Springer Lecture Notes in Artificial Intelligence, Berlin, 2009.
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(with A. Romanowska and P. Ślusarski) Duality for convex polytopes, J. Australian Math. Soc. 86 (2009), 399412.
Available online.

*
NOTICE: this is the authors' version
(with updated bibliography)
of a work that was accepted for publication
in Journal of Combinatorial Theory, Series A.
Changes resulting from the publishing process,
such as peer review, editing, corrections,
structural formatting, and other quality
control mechanisms may not be reflected
in this document. Changes may have been
made to this work since it was submitted for
publication. A definitive version was
subsequently published in J. Combin. Theory
Ser. A 117 (2010), 790798. DOI#
doi:10.1016/j.jcta.2009.10.015

(with K.W. Johnson) On the smallest simple, unipotent Bol loop, J. Combin. Theory Ser. A 117 (2010), 790798.
Available online.
Click here for local copy.*

(with B. Kerby) Quasigroup automorphisms and symmetric group characters, Comment. Math. Univ. Carol. 51 (2010), 279286.
Available online.
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(with B. Kerby) Quasigroup automorphisms and the NortonStein complex, Proc. Amer. Math. Soc. 138 (2010), 30793088.
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(with L. Long) Catalan loops, Math. Proc. Camb. Phil. Soc. 149 (2010), 445453.
Available online.
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*
Author Posting. © Informa plc, 2010.
This is the authors' version of the work.
It is posted here by permission of Informa plc
for personal use, not for redistribution.
The definitive version was published in
Communications in Algebra,
Volume 38 Issue 8, August 2010.
doi:10.1080/00927870903095590

(with K.W. Johnson) Matched pairs, permutation representations, and the Bol property, Comm. Algebra 38 (2010), 29032914.
Available online.
Click here for local copy.*

On groups of hypersubstitutions,
Algebra Universalis 64 (2010), 3948.
Available online.

(with B. Im and J.Y. Ryu) Sharply transitive sets in quasigroup actions, J. Alg. Comb. 33 (2011), 8193.
Available online.

*
NOTICE: this is the authors' version
of a work that was accepted for publication
in Journal of Combinatorial Theory, Series A.
Changes resulting from the publishing process,
such as peer review, editing, corrections,
structural formatting, and other quality
control mechanisms may not be reflected
in this document. Changes may have been
made to this work since it was submitted for
publication. A definitive version was
subsequently published in J. Combin. Theory
Ser. A 118 (2011), 22322245. DOI#
doi:10.1016/j.jcta.2011.05.003

(with B. Kerby) A graphtheoretic approach to quasigroup cycle numbers, J. Combin. Theory Ser. A 118 (2011), 22322245.
Available online.
Click here for local copy*
(with correction to Example 7.2.)

(with K. Matczak and A.B. Romanowska) Dyadic polygons,
Int. J. Alg. & Comp. 21 (2011), 387408.
Available online.
Click here for local copy.*

(with B. Im) Representation theory for varieties of comtrans algebras and Lie triple systems,
Int. J. Alg. & Comp. 21 (2011), 459472.
Available online.
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Modes, modals, and barycentric algebras: a brief survey and an additivity theorem,
Demonstr. Math. 44 (2011), 571587.
Available online.
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* Electronic version of an article published as
Algebra Universalis 66 (2011), 3548.
DOI 10.1007/s0001201101405.
The final publication is available
at www.springerlink.com.

Lambdarings of automorphisms,
Algebra Universalis 66 (2011), 3548.
Available online.
Click here for local copy.*

*
NOTICE: this is the author's version
of a work that was accepted for publication
in the Journal of Pure and Applied Algebra.
Changes resulting from the publishing process,
such as peer review, editing, corrections,
structural formatting, and other quality
control mechanisms may not be reflected
in this document. Changes may have been
made to this work since it was submitted for
publication. A definitive version was
subsequently published in J. Pure Appl. Alg.
216 (2012), 811825. DOI#
doi.org/10.1016/j.jpaa.2011.08.014

Groups, triality, and hyperquasigroups,
J. Pure Appl. Alg. 216 (2012), 811825.
Available online.
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Homotopies of central quasigroups,
Comm. Algebra 40 (2012), 18781885.
Available online.
Click here for local copy.

On 2Engel groups and Bruck loops,
J. Group Theory 16 (2013), 87106.
Available online.
Click here for errata.

(with A. Mućka and A.B. Romanowska)
Manysorted and singlesorted algebras,
Algebra Universalis 69 (2013), 171190.
Available online.
Click here for local copy.

On the algebraic structure of Dyson's Circular Ensembles,
Sci. Math. Japonicae 76 (2013), 289298.
Available online.
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(with A.B. Romanowska)
Entropic Hopf algebras,
pp. 187190 in
"TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic" (N. Galatos, A. Kurz, C. Tsinakis, eds.),
Easychair Proceedings in Computing 25, 2014.
Available online.

(with K.V. Adaricheva and A.B. Romanowska) The algebra of mode homomorphisms, Open Mathematics/Cent. Eur. J. Math. 12 (2014), 12651277.
Available online.
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Ricci curvature, circulants, and a matching condition,
Discrete Math. 329 (2014), 8898.
Available online.
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Palindromic and sudoku quasigroups,
J. Comb. Math. Comb. Comp. 88 (2014), 8594.
Click here for local copy
.

(with K. Matczak) Undirected replicas of directional binary algebras, J. of Algebra and its Applications 13, 1450051 (2014) [19 pages].
Available online.

(with K.W. Johnson and M. Munywoki) The upper triangular algebra loop of degree 4, Comment. Math. Univ. Carol. 55 (2014), 457470.
Click here for local copy.

(with C. Zhang) Parametrizing the net maternity function,
Letters in Biomathematics 1 (2014), 181192.
Available online.

(with P.K. Jha) Cycle Kronecker products that are representable as optimal circulants,
Discrete Appl. Math. 181 (2015), 130138.
Available online.

Sylow theory for quasigroups,
J. Combin. Designs 23 (2015), 115133.
Available online.

(with C. Zhang) Generalized Lotka stability,
Theor. Pop. Biol. 103 (2015), 3843.
Available online.

(with A.B. Romanowska) On Hopf algebras in entropic JónssonTarski varieties,
Bull. Korean Math. Soc. 52 (2015), 15871606.
Available online.

Onesided quantum quasigroups and loops,
Demonstr. Math. 48 (2015), 620636.
Available online.
Click here for local copy.

Directional algebras,
Houston J. Math. 42 (2016), 122.
Click here for local copy.

Quantum quasigroups and loops,
J. Alg. 456 (2016), 4675.
Available online.

(with M. Dağlı and L.A. Garcia) Restricted comtrans algebras over small odd primes,
Comm. Algebra 44 (2016), 42204242.
Available online.

Quantum idempotence, distributivity, and the YangBaxter equation, Comment. Math. Univ. Carol. 57 (2016), 567583.
Online abstract.
Click here for corrected local copy.

Conformal algebras, vertex algebras, and the logic of locality,
Math. Slovaca 66 (2016), 407420.
Available online.
Click here for local copy.

Belousov's Theorem and the quantum YangBaxter equation,
Bulletinul Academiei de Ştiinţe a Republicii Moldovei. Matematica 80 (2016), 723.
Available online.

Quantum quasigroups and the quantum YangBaxter equation, Axioms 5(4) (2016), 25.
http://dx.doi.org/10.3390/axioms5040025

(with M.K. Kinyon and P. Vojtĕchovský) Sylow theory for quasigroups II: Sectional action,
J. Combin. Designs 25 (2017), 159184.
Available online.

(with H.Y. Lee and B. Im) Stochastic tensors and approximate symmetry, Discrete Math. 340 (2017), 13351350.
Available online.

(with B. Im and K. Matczak) Linear diquasigroups, J. of Algebra and its Applications, 16, 1750057 (2017) [20 pages].
Available online.

Burnside orders, Burnside algebras and partition lattices,
Order, 34 (2017), 253263.
doi:10.1007/s1108301693979.
Click here for an open view of the published copy.
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Poset loops, Order, 34 (2017), 265285.
doi:10.1007/s1108301693988.
Click here for an open view of the published copy.
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(with A.B. Romanowska) Duality for quasilattices and Galois connections, Fund. Informaticae 156 (2017), 331359.
Available online.

(with A.B. Romanowska)
Diagrammatic duality,
pp. 273295 in
"Don Pigozzi on Abstract Algebraic Logic" (J. Czelakowski, ed.),
Outstanding Contributions to Logic 16, Springer, Berlin, 2018.
ISBN 9783319747712.
Available online.

(with A. Komorowski and A.B. Romanowska) Keimel's problem on the algebraic axiomatization of convexity, Algebra Universalis (2018) 79:22.
Available online.
Click here for errata.

*The Version of Record of this manuscript
has been published and is available in
Communications in Algebra
,
Volume
46
Issue 11, September 2018.

(with U.N. Iyer and E.J. Taft) Onesided Hopf algebras and quantum quasigroups, Comm. Algebra 46 (2018), 45904608.
Available online.
Click here for local copy.*

(with B. Im)
Orthogonality of approximate Latin squares and quasigroups,
pp. 165181 in
"Nonassociative Mathematics and its Applications" (P. Vojtĕchovský et al., eds.),
Contemporary Mathematics 721, American Mathematical Society, Providence, RI, 2019.
ISBN 9781470442453.

(with M. Dağlı and O. Olmez) Ricci curvature, circulants, and extended matching conditions,
Bull. Korean Math. Soc. 56 (2019), 201217.
Available online.

(with G.N. Nop) Higher homotopy,
J. Algebra 526 (2019), 309332.
Available online.

(with S.G. Wang) Isomorphism invariants for linear quasigroups, São Paulo J. Math. Sci., to appear.
Available online.

(with A. Komorowski and A.B. Romanowska) Barycentric algebras and
beyond, Algebra Universalis, to appear.
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