Results 61 to 70 of about 166 (137)
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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A Study of Q-Neutrosophic Soft Quasigroups and Their Application to Medical Decisions
Neutrosophic Sets and SystemsIn this paper, we investigate the algebraic structure of Q-neutrosophic soft quasigroups as an extension of Q-neutrosophic soft sets to non-associative systems. We establish several fundamental properties of these structures. In particular, we prove that
Benard Osoba +5 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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On methods of constructing AD-quasigroups
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiWe research T-quasigroups with AD identity and Schweitzer identity. The necessary and sufficient condition has been determined that in the T-quasigroup G of the form x • y=ϕ(x)+ψ(y), AD identity and the Schweitzer identity are true.
Liubomir Chiriac +2 more
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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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Multivariate Quadratic Equations in Public-key Cryptography
Безопасность информационных технологий, 2013 The work is dedicated to appliances of multivariate quadratic equations in modern public-key cryptography. The existing cryptosystems are reviewed, pointing out their pros and contras.
Andrey Valerievich Zhatkin
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On a special class of multivariate quadratic quasigroups (MQQs)
Journal of Mathematical Cryptology, 2013 In this paper, we study a special class of recently introduced quasigroups called multivariate quadratic quasigroups (MQQs) and solve several open research problems about them. Our main contributions are threefold. The first is to provide a standard form
Chen Yanling +2 more
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On free quasigroups and quasigroup representations
, 2018 This work consists of three parts. The discussion begins with \emph{linear quasigroups}. For a unital ring $S$, an $S$-linear quasigroup is a unital $S$-module, with automorphisms $\rho$ and $\lambda$ giving a (nonassociative) multiplication $x\cdot y=x^\rho+y^\lambda$. If $S$ is the field of complex numbers, then ordinary characters provide a complete
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Isotopy of abelian quasigroups [PDF]
Proceedings of the American Mathematical Society, 1977 It is proved that every abelian quasigroup possesses a class of isomorphic principal isotopes which are commutative groups. Also it is indicated how the corresponding result for topological quasigroups can be utilised to obtain results for abelian topological quasigroups from analogous results for commutative topological groups.
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