Results 21 to 30 of about 2,856 (140)
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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Multiplier Hopf Coquasigroup: Motivation and Biduality
Mathematics, 2022 Inspired by the multiplier Hopf algebra theory introduced by A. Van Daele, this paper introduces a new algebraic structure, a multiplier Hopf coquasigroup, by constructing the integral dual of an infinite-dimensional Hopf quasigroup with faithful ...
Tao Yang
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Distributive and trimedial quasigroups of order 243
, 2016 We enumerate three classes of non-medial quasigroups of order $243=3^5$ up to isomorphism. There are $17004$ non-medial trimedial quasigroups of order $243$ (extending the work of Kepka, B\'en\'eteau and Lacaze), $92$ non-medial distributive quasigroups ...
Jedlička, Přemysl +2 more
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Parastrophe of Some Inverse Properties in Quasigroups
MathematicsThis work investigates the relationship between the parastrophes of some notion of inverses in quasigroups. Our findings reveal that, of the 5 parastrophes of LIP quasigroup, (23) parastrophe is a LIP quasigroup, (12) and (132) parastrophes are RIP ...
Yakub T. Oyebo +3 more
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On determinability of idempotent medial commutative quasigroups by their endomorphism semigroups; pp. 81–87 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 We extend the result of P. Puusemp (Idempotents of the endomorphism semigroups of groups. Acta Comment. Univ. Tartuensis, 1975, 366, 76â104) about determinability of finite Abelian groups by their endomorphism semigroups to finite idempotent medial ...
Alar Leibak, Peeter Puusemp
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Topology of quasi divisor graphs associated with non-associative algebra
Ain Shams Engineering JournalThe visualization of graphs representing algebraic structures has increasingly gained traction in chemical engineering research, emerging as a significant scientific challenge in contemporary studies.
Muhammad Nadeem +4 more
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Half quasigroups and generalized quasigroup orthogonality
Discrete Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Algebra, 1996 It is well known that the following four Moufang identities, M1: \((x(yz))x=(xy)(zx)\) and N1: \(((xy)z)y=x(y(zy))\) and their respective mirrors M2 and N2 (obtained by writing them backwards), are equivalent in loops which are then called Moufang loops. The author now shows that every quasigroup satisfying any one of these four identities is a Moufang
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On a method of constructing topological quasigroups obeying certain laws
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiA new method of constructing non-associative topological quasigroups obeying certain laws is given. Also, in this paper we research T-quasigroups with Abel-Grassmann identity (ab)•c=(cb)•a.
Liubomir Chiriac +2 more
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, 2008 We characterize the set of all N-ary quasigroups of order 4: every N-ary quasigroup of order 4 is permutably reducible or semilinear. Permutable reducibility means that an N-ary quasigroup can be represented as a composition of K-ary and (N-K+1)-ary ...
Denis S. Krotov +2 more
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