Results 61 to 70 of about 4,967 (212)
Quantum Quasigroups and the Quantum Yang–Baxter Equation
Axioms, 2016 Quantum quasigroups are algebraic structures providing a general self-dual framework for the nonassociative extension of Hopf algebra techniques. They also have one-sided analogues, which are not self-dual.
Jonathan Smith
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Extensions of Steiner Triple Systems
Journal of Combinatorial Designs, Volume 33, Issue 3, Page 94-108, March 2025.ABSTRACT In this article, we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corresponds to the center of the Steiner loop. We investigate extensions of Steiner loops, focusing in particular on the case of Schreier extensions, which provide a ...
Giovanni Falcone +2 more
wiley +1 more source
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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Yetter–Drinfeld Modules for Group-Cograded Hopf Quasigroups
Mathematics, 2022 Let H be a crossed group-cograded Hopf quasigroup. We first introduce the notion of p-Yetter–Drinfeld quasimodule over H. If the antipode of H is bijective, we show that the category YDQ(H) of Yetter–Drinfeld quasimodules over H is a crossed category ...
Huili Liu, Tao Yang, Lingli Zhu
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Candidate One-Way Functions and One-Way Permutations Based on Quasigroup String Transformations [PDF]
, 2005 In this paper we propose a definition and construction of a new family of one-way candidate functions ${\cal R}_N:Q^N \to Q^N$, where $Q=\{0,1,...,s-1\}$ is an alphabet with $s$ elements.
Gligoroski, Danilo
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Mathematical communications, 2011 In this paper, the concept of an ARH-quasigroup is introduced and identities valid in that quasigroup are studied. The geometrical concept of an affine-regular heptagon is defined in a general ARH-quasigroup and geometrical representation in the quasigroup $C(2 cos pi/7)$ is given.
Kolar - Šuper, Ružica +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Research on the confluence of algebra, graph theory, and machine learning has resulted in significant discoveries in mathematics, computer science, and artificial intelligence. Polynomial coefficients can be beneficial in machine learning. They indicate feature significance, nonlinear interactions, and error dynamics.
Faizah D. Alanazi, Theodore Simos
wiley +1 more source
A Quasigroup Approach for Conservation Laws in Asymptotically Flat Spacetimes
UniverseIn the framework of the quasigroup approach to conservation laws in general relativity, we show how the infinite-parametric Newman–Unti group of asymptotic symmetries can be reduced to the Poincaré quasigroup. We compute Noether’s charges associated with
Alfonso Zack Robles +2 more
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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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Asian Journal of Mathematics, 2016 In this paper we introduce the notion of weak Hopf quasigroup as a generalization of weak Hopf algebras and Hopf quasigroups. We obtain its main properties and we prove the fundamental theorem of Hopf modules for these algebraic structures.
Álvarez, J. N. Alonso +2 more
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