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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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A Pair of Smarandachely Isotopic Quasigroups and Loops of the Same Variety [PDF]
, 2008 The isotopic invariance or universality of types and varieties of quasigroups and loops described by one or more equivalent identities has been of interest to researchers in loop theory in the recent past.
Jaiyeola, Temitope Gbolahan
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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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Parastrophic invariance of Smarandache quasigroups [PDF]
, 2006 The study of the Smarandache concept in groupoids was initiated by W.B. Vasantha Kandasamy in [18]. In her book and first paper on Smarandache concept in loops, she defined a Smarandache loop as a loop with at least a subloop which forms a subgroup ...
Gbolahan, Temitope
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On the number of n-ary quasigroups of finite order [PDF]
, 2012 Let $Q(n,k)$ be the number of $n$-ary quasigroups of order $k$. We derive a recurrent formula for Q(n,4). We prove that for all $n\geq 2$ and $k\geq 5$ the following inequalities hold: $({k-3}/2)^{n/2}(\frac{k-1}2)^{n/2} < log_2 Q(n,k) \leq {c_k(k-2)^{n}}
Krotov, Denis, Potapov, Vladimir
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On the universality of some Smarandache loops of Bol-Moufang type [PDF]
, 2006 A Smarandache left (right) inverse property loop in which all its f; g- principal isotopes are Smarandache f; g- principal isotopes is shown to be universal if and only if it is a Smarandache left(right) Bol loop in which all its f; g- principal isotopes
Awolowo, Obafemi +1 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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An introduction to loopoids [PDF]
, 2015 We discuss a concept of loopoid as a non-associative generalization of (Brandt) groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids.
Grabowski, Janusz
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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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