Results 81 to 90 of about 4,967 (212)
3D compatible ternary systems and Yang-Baxter maps
, 2013 According to Shibukawa, ternary systems defined on quasigroups and satisfying certain conditions provide a way of constructing dynamical Yang-Baxter maps. After noticing that these conditions can be interpreted as 3-dimensional compatibility of equations
Kouloukas, Theodoros E. +1 more
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Graphs Connected to Isotopes of Inverse Property Quasigroups: A Few Applications
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.Many real‐world applications can be modelled as graphs or networks, including social networks and biological networks. The theory of algebraic combinatorics provides tools to analyze the functioning of these networks, and it also contributes to the understanding of complex systems and their dynamics.
Muhammad Nadeem +3 more
wiley +1 more source
Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups
Journal of Mathematics, Volume 2024, Issue 1, 2024.A relatively new and rapidly expanding area of mathematics research is the study of graphs’ spectral properties. Spectral graph theory plays a very important role in understanding certifiable applications such as cryptography, combinatorial design, and coding theory.
Muhammad Nadeem +6 more
wiley +1 more source
Algebraic Properties of Quasigroup Under Q-neutrosophic Soft Set [PDF]
Neutrosophic Sets and SystemsThe novel concept called neutrosophic set was launched to take care of indeterminate factors in real-life data. The hybrid model of neutrosophic set and soft set has been widely studied in different areas of algebra, especially in associative structures ...
Benard Osoba +2 more
doaj +1 more source
Complexity, Volume 2024, Issue 1, 2024.Taking into account the most recent improvements in graph theory and algebra, we can associate graphs of some mathematical structures with certifiable, widely known applications. This paper seeks to explore the connections established through edge labeling among Latin squares derived from Moufang quasigroups, which are constructed using additive ...
Mohammad Mazyad Hazzazi +5 more
wiley +1 more source
T-quasigroups with Stein 2-nd and 3-rd identity
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiIn this paper we prolong research of T-quasigroups with Stein 2-rd (xy ⋅ x = y ⋅ xy) and Stein 3-rd (xy ⋅ yx = y) identities [9].
Victor Shcherbacov +2 more
doaj +1 more source
Braided crossed category over crossed group-cograded weak Hopf quasigroups [PDF]
, 2022 Huili Liu, Lingli Zhu, Tao Yang
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Oriented Steiner quasigroups [PDF]
Journal of Algebra and Its Applications, 2014 We introduce the notion of an oriented Steiner quasigroup and develop elements of a relevant algebraic apparatus. The approach is based upon (modified) Schreier-type f-extensions for quasigroups (cf. earlier works [10, 11, 14]) achieved through oriented Steiner triple systems.
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Layers of knot region colorings and higher differentials [PDF]
, 1927 We inductively define layers of colorings of knot and knotted surface diagrams using ternary quasigroups. Homological invariants from such systems of colorings use shorter differentials and of higher degree than the standard homology differentials, and ...
Niebrzydowski, Maciej
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Quasigroups and related systems, 2011 In this paper the concept of pentagonal quasigroup is introduced as {; ; ; IM}; ; ; -quasigroup satisfying the additional property of pentagonality. Some basic identities which are valid in a general pentagonal quasigroup are proved. Four different models for pentagonal quasigroups and their mutual relations are studied.
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