Results 121 to 130 of about 1,878 (148)
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Strongly minimal Steiner systems II: coordinatization and quasigroups
Algebra Universalis, 2021Each strongly minimal Steiner k -system ( M , R ) (where is R is a ternary collinearity relation) can be ‘coordinatized’ in the sense of (Ganter–Werner 1975) by a quasigroup if k is a prime-power. We show this coordinatization is never definable in ( M ,
J. Baldwin
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On the Constant-Depth Circuit Complexity of Generating Quasigroups
TheoretiCSWe investigate the constant-depth circuit complexity of the Isomorphism Problem, Minimum Generating Set Problem (MGS), and Sub(quasi)group Membership Problem (Membership) for groups and quasigroups (=Latin squares), given as input in terms of their ...
Nathaniel A. Collins +3 more
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Quasigroups generated by shift registers and Feistel networks
Quasigroups And Related SystemsFormula-based specification of large quasigroups with the use of complete mappings over Abelian groups is investigated. Complete mappings specified by generalized feedback registers and generalized Feistel networks are considered.
Sucheta Chakrabarti +4 more
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Weak Hopf quasigroups and Matched Pairs of Quasigroupoids
Journal of Algebra and its ApplicationsIn this paper we introduce the notion of exact factorization of a quasigroupoid and the notion of matched pair of quasigroupoids with common base. We prove that if $({\sf A}, {\sf H})$ is a matched pair of quasigroupoids it is posible to construct a new ...
R. G. Rodr'iguez
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Quasigroups and substitution permutation networks: a failed experiment
IACR Cryptology ePrint Archive, 2020We introduce a generalization of substitution permutation networks using quasigroups. Then, we prove that for quasigroups isotopic with a group the complexity of mounting a differential attack against our generalization is the same as attacking a ...
George Teşeleanu
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Medially nilpotent distributive quasigroups and CH-quasigroups
Siberian Mathematical Journal, 1987The notion of medial nilpotent quasigroup is introduced. Among other facts, the following claim is proved: If (Q,.) is a distributive quasigroup, or a CH-quasigroup with \(n+2\) free generators, then (Q,.) is a medial nilpotent quasigroup of the class n (Theorem 4).
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Quasigroups, right quasigroups and category coverings
Algebra Universalis, 1996An interpretation of quasigroup modules as representations of the fundamental groupoid on the Cayley diagram of a quasigroup is constructed. Generalizations to right quasigroups involve the path category of the Cayley diagram.
Fuad, T. S. R., Smith, J. D. H.
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Endomorphically closed quasigroups
Mathematical Notes of the Academy of Sciences of the USSR, 1970We construct examples of an endomorphically closed loop and of an endomorphically closed TS-quasigroup that are not entropic.
Bol'bot, A. D., Golubev, Yu. N.
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International Journal of Theoretical Physics, 2002
In the first part of the paper the author determined the Cayley-Klein parameters for the de Sitter groups and also the four-dimensional double valued irreducible representations of these groups. These representations are analogous to the SL\((2,\mathbb C)\) double-valued irreducible representations of the proper orthochronous Lorentz group.
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In the first part of the paper the author determined the Cayley-Klein parameters for the de Sitter groups and also the four-dimensional double valued irreducible representations of these groups. These representations are analogous to the SL\((2,\mathbb C)\) double-valued irreducible representations of the proper orthochronous Lorentz group.
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