Results 1 to 10 of about 67 (63)
One-Sided Quantum Quasigroups and Loops
Demonstratio Mathematica, 2015 Quantum quasigroups and quantum loops are self-dual objects providing a general framework for the nonassociative extension of quantum group techniques. This paper examines their one-sided analogues, which are not self-dual.
Smith J. D. H.
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On a “grouplike” family of quasigroups
Examples and CounterexamplesQuasigroups are algebraic structures in which divisibility is always defined. This paper illustrates some similarities and differences between quasigroup theory and group theory, by singling out a special family of quasigroups which seem to be most ...
Gizem Karaali
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Topologies on Smashed Twisted Wreath Products of Metagroups
Axioms, 2023 In this article, topologies on metagroups and quasigroups are studied. Topologies on smashed twisted wreath products of metagroups are scrutinized, which are making them topological metagroups. For this purpose, transversal sets are studied.
Sergey Victor Ludkowski
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Principal Loop-Isotopes of Quasigroups [PDF]
Canadian Journal of Mathematics, 1966 If a quasigroup (L, .) has finite order n, then there are n2 principal loop-isotopes. Some of these n2 loops may be isomorphic, and the main purpose of this paper is to obtain theorems that describe the isomorphism classes. Using these results and a computer, we have determined all the loops of order 6.
Bryant, B. F., Schneider, H.
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Rectangular quasigroups and rectangular loops
Computers & Mathematics with Applications, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kinyon, M.K., Phillips, J.D.
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Small latin squares, quasigroups, and loops [PDF]
Journal of Combinatorial Designs, 2006 AbstractWe present the numbers of isotopy classes and main classes of Latin squares, and the numbers of isomorphism classes of quasigroups and loops, up to order 10. The best previous results were for Latin squares of order 8 (Kolesova, Lam, and Thiel,1990), quasigroups of order 6 (Bower,2000), and loops of order 7 (Brant and Mullen,1985). The loops of
McKay, Brendan +2 more
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How Nonassociative Geometry Describes a Discrete Spacetime
Frontiers in Physics, 2019 Nonassociative geometry, providing a unified description of discrete and continuum spaces, is a valuable candidate for the study of discrete models of spacetime. Within the framework of nonassociative geometry we propose a model of emergent spacetime. In
Alexander I. Nesterov, Héctor Mata
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Study of Jordan quasigroups and their construction
Journal of Taibah University for Science, 2018 Jordan quasigroups are commutative quasigroups satisfying the identity $x^{2}(yx)=(x^{2}y)x$. In this paper we discuss the basic properties of Jordan quasigroups and prove that (i) every commutative idempotent quasigroup is Jordan quasigroup, (ii) if a ...
Amir Khan +3 more
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Right product quasigroups and loops
, 2009 15 pages; v2: minor corrections to author ...
Phillips, J D, Krapez, A, Kinyon, M K
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About International Conference MITI2018 [PDF]
Computer Science Journal of Moldova, 2018 The conference is a homage to the illustrious mathematician Valentin Belousov, the founder of the Theory of Quasigroups and Loops in the former USSR, doctor habilitate in physics and mathematics, professor, correspondent member at the Academy of ...
Ina Ciobanu +2 more
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