A Duality Theorem for Hopf Quasimodule Algebras
Mathematics, 2023 In this paper, we introduce and study two smash products A★H for a left H-quasimodule algebra A over a Hopf quasigroup H over a field K and B#U for a coquasi U-module algebra B over a Hopf coquasigroup U, respectively. Then, we prove our duality theorem (
Huaiwen Guo, Shuanhong Wang
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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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Half quasigroups and generalized quasigroup orthogonality
Discrete Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Q-Neutrosophic Spherical-Cubic Soft Algebra for Enhancing Residential Space Art Design Courses Quality in IoT-Enabled Smart Factories [PDF]
Neutrosophic Sets and SystemsThis paper introduces a new mathematical model called Q-Neutrosophic Spherical-Cubic Soft Evaluation Algebra (Q-NSCSEA) to support the improvement of educational practices in residential space art design courses. These courses are increasingly integrated
Xiaodan Kong
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Despre CM-grupoizi cu unităt, i multiple s, i bucle de stânga mediale topologice
Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2022 În această lucrare sunt examinate proprietăţi ale CM-groupoizilor cu unităţi multiple şi a buclelor de stânga topologice mediale. Au fost determinate condiţiile pentru care un CM-groupoid devine CM-quasigroup. Este propusă o metodă nouă de construcţie a
Liubomir Chiriac +3 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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On a connection between the switching separability of a graph and that of its subgraphs
, 2011 A graph of order $n>3$ is called {switching separable} if its modulo-2 sum with some complete bipartite graph on the same set of vertices is divided into two mutually independent subgraphs, each having at least two vertices.
D. S. Krotov +6 more
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Inverse Properties in Neutrosophic Triplet Loop and Their Application to Cryptography
Algorithms, 2018 This paper is the first study of the neutrosophic triplet loop (NTL) which was originally introduced by Floretin Smarandache. NTL originated from the neutrosophic triplet set X: a collection of triplets ( x , n e u t ( x ) , a n t i ( x ) ) for ...
Temitope Gbolahan Jaiyeola +1 more
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Asymptotics for the number of n-quasigroups of order 4
, 2006 The asymptotic form of the number of n-quasigroups of order 4 is $3^{n+1} 2^{2^n +1} (1+o(1))$.
D. S. Krotov +4 more
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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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