Results 111 to 120 of about 4,967 (212)
One-Sided Quantum Quasigroups and Loops
Demonstratio Mathematica, 2015 Quantum quasigroups and quantum loops are self-dual objects providing a general framework for the nonassociative extension of quantum group techniques. This paper examines their one-sided analogues, which are not self-dual.
Smith J. D. H.
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A Note on the Quasigroup of Lai–Massey Structures
CryptographyIn our paper, we explore the consequences of replacing the commutative group operation used in Lai–Massey structures with a quasigroup operation. We introduce four quasigroup versions of the Lai–Massey structure and prove that for quasigroups isotopic ...
George Teşeleanu
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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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A Lightweight block cipher based on quasigroups [PDF]
, 2017 Yaohui Zhao, Yunqing Xu
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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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Quasigroups, asymptotic symmetries, and conservation laws in general relativity [PDF]
, 1997 Alexander I. Nesterov
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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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The Generalized Equations of Bisymmetry Associativity and Transitivity on Quasigroups [PDF]
, 1972 Mark Taylor
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Sub-quasigroups of finite quasigroups [PDF]
Pacific Journal of Mathematics, 1957 openaire +2 more sources