Results 71 to 80 of about 2,017 (174)
Quasigroups and related systems, 2009 The concept of a LGS-quasigroup is defined and investigated in this paper. The geometric concepts of parallelograms and midpoints are introduced in a general LGS-quasigroup and the geometrical interpretation in the LGS-quasigroup $C(\frac{;1};{;2};(3 + \sqrt 5))$ is given.
Kolar Begović, Zdenka +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
Certain congruences on quasigroups [PDF]
Proceedings of the American Mathematical Society, 1952 1. Using the ideas of [1],1 we define a lattice-isomorphism between the reversible congruences on a quasigroup and certain congruences on its group of translations. This may be used to get certain properties of the quasigroup congruences from those of the translation-group congruences; for example, it gives a new proof that reversible congruences on a ...
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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
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
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Sharp Characters of Quasigroups
European Journal of Combinatorics, 1993 The idea of a sharp permutation character of a group arises from combinatorial considerations. Recent work, founded on early results of H. F. Blichfeldt published in 1904, has shown that the definition of sharpness can be extended to arbitrary group characters, and in fact it has emerged that the natural object to define is a sharp triple.
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An encryption algorithm using a generalization of the Markovski algorithm and T-quasigroups
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiHere is a more detailed description of the algorithm proposed in [1]. This algorithm simultaneously uses two cryptographic procedures: encryption using a generalization of the Markovski algorithm [2] and encryption using a system of orthogonal ...
Nadezhda Malyutina, Victor Shcherbacov
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Some applications of quasigroups in cryptology [PDF]
Computer Science Journal of Moldova, 2016 In the paper we present based on quasigroups new deniable encryption method, generalisation of Markovski stream cipher, and generalisation of El-Gamal enciphering system.
N.A. Moldovyan +2 more
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