Results 31 to 40 of about 1,878 (148)
On Characterization of Graphs Structures Connected with Some Algebraic Properties
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, we have characterized graph structures connected with some algebraic properties. Also, this paper is actually the concatenation of graph theory and algebra. We have introduced left and right inverse graphs of antiautomorphic inverse property loops.
Rongbing Huang +5 more
wiley +1 more source
Construction of Mutually Orthogonal Graph Squares Using Novel Product Techniques
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Sets of mutually orthogonal Latin squares prescribe the order in which to apply different treatments in designing an experiment to permit effective statistical analysis of results, they encode the incidence structure of finite geometries, they encapsulate the structure of finite groups and more general algebraic objects known as quasigroups, and they ...
A. El-Mesady +2 more
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Rota–Baxter (Co)algebra Equation Systems and Rota–Baxter Hopf Algebras
Mathematics, 2022 We introduce and discuss the notions of Rota–Baxter bialgebra equation systems and Rota–Baxter Hopf algebras. Then we construct a lot of examples based on Hopf quasigroups.
Yue Gu, Shuanhong Wang, Tianshui Ma
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Distributive Properties of Q−neutrosophic Soft Quasigroups [PDF]
Neutrosophic Sets and Systems, 2023 The Q−neutrosophic soft quasigroup is a mathematical innovation for dealing with indeterminate occurrences. The characterization of quasigroups using the concept of Q−neutrosophic soft set is an evolving area of study that, in recent times, has attracted
Oyobo Tunde Yakub +2 more
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Isotopic Properties of Neutrosophic Soft Quasigroup and Its Application in Decision-making [PDF]
Neutrosophic Sets and SystemsA Q-neutrosophic soft quasigroup (ϕ Q, A) represents a novel mathematical framework designed to address scenarios characterized by indeterminate occurrences.
Benard Osoba +6 more
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Medial and semimedial left quasigroups [PDF]
Journal of Algebra and its Applications, 2020 In this paper, we investigate the class of semimedial left quasigroups, a class that properly contains racks and medial left quasigroups. We extend most of the results about commutator theory for racks collected in [M. Bonatto and D.
M. Bonatto
semanticscholar +1 more source
Pentagonal quasigroups, their translatability and parastrophes
Open Mathematics, 2021 Any pentagonal quasigroup QQ is proved to have the product xy=φ(x)+y−φ(y)xy=\varphi \left(x)+y-\varphi (y), where (Q,+)\left(Q,+) is an Abelian group, φ\varphi is its regular automorphism satisfying φ4−φ3+φ2−φ+ε=0{\varphi }^{4}-{\varphi }^{3}+{\varphi }^
Dudek Wieslaw A., Monzo Robert A. R.
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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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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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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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