Results 51 to 60 of about 1,878 (148)
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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Newton da Costa and the school of Curitiba
Manuscrito, 2011 This paper intends to report on the beginning of the publications of Newton da Costa outside Brazil. Two mathematicians played an important role in this beginning: Marcel Guillaume from the University of Clermont-Ferrand and Paul Dedecker from the ...
Artibano Micali
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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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Canonical Labeling of Latin Squares in Average‐Case Polynomial Time
Random Structures &Algorithms, Volume 66, Issue 4, July 2025.ABSTRACT A Latin square of order n$$ n $$ is an n×n$$ n\times n $$ matrix in which each row and column contains each of n$$ n $$ symbols exactly once. For ε>0$$ \varepsilon >0 $$, we show that with high probability a uniformly random Latin square of order n$$ n $$ has no proper subsquare of order larger than n1/2log1/2+εn$$ {n}^{1/2}{\log}^{1/2 ...
Michael J. Gill +2 more
wiley +1 more source
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
Inverse Spectrum and Structure of Topological Metagroups
MathematicsIn this article, a structure of topological metagroups is scrutinized. Their inverse spectra are studied. This also permits us to construct abundant families of topological metagroups and quasigroups.
Sergey Victor Ludkowski
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Demonstratio Mathematica, 2009 AbstractIn this paper we explain the relationship of some entropic quasigroups to abelian groups with involution. It is known that (
Grzegorz Bińczak, Joanna Kaleta
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Quasigroups in cryptology [PDF]
Computer Science Journal of Moldova, 2009 We give a review of some known published applications of quasigroups in cryptology.
V.A. Shcherbacov
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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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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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