Results 141 to 150 of about 998 (166)
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2007
Plastic quasigroups are idempotent medial quasigroups satisfying the identity a.(a.ab)b=b. Our main result is a one-to-one correspondence with G2-quasigroups, studied in an earlier paper. A Toyoda-like representation theorem for plastic quasigroups is proved.
Krčadinac, Vedran, Volenec, Vladimir
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Plastic quasigroups are idempotent medial quasigroups satisfying the identity a.(a.ab)b=b. Our main result is a one-to-one correspondence with G2-quasigroups, studied in an earlier paper. A Toyoda-like representation theorem for plastic quasigroups is proved.
Krčadinac, Vedran, Volenec, Vladimir
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Homomorphisms of Quasigroups: 10888
The American Mathematical Monthly, 200310888 [2001, 667]. Proposed by William R Wardlaw and William D. Withers, United States Naval Academy, Annapolis, MD. A groupoid is a set together with a binary operation. A groupoid with binary operation * is a quasigroup if whenever any two of x, y, and z are given, the equation x * y = z uniquely determines the third.
William P. Wardlaw +4 more
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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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Equational Quantum Quasigroups
Algebras and Representation TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Image data security using Quasigroup combined with Fibonacci Q-transformation
Journal of Information Security and Applications, 2021Sachin Kumar, Sachin Kumar
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Symmetric and Asymmetric Cryptography on the Special Linear Cracovian Quasigroup
Lecture Notes in Computer Science, 2022Zbigniew Lipinski +1 more
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Russian Mathematics
The paper studies the properties of n-ary T-quasigroups ($n\geq3$). The isomorphism of the derived n-ary groups from two T-groups for an n-ary T-quasigroup is proved. A necessary and sufficient condition is found under which an n-ary loop is a derivative of an n-ary group from a T-group for an n-ary T-quasigroup. The coincidence of the class of n-ary T
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The paper studies the properties of n-ary T-quasigroups ($n\geq3$). The isomorphism of the derived n-ary groups from two T-groups for an n-ary T-quasigroup is proved. A necessary and sufficient condition is found under which an n-ary loop is a derivative of an n-ary group from a T-group for an n-ary T-quasigroup. The coincidence of the class of n-ary T
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Quasigroup Homogeneous Spaces and Linear Representations
Journal of Algebra, 2001Jonathan D. H. Smith
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Some Probabilistic Properties of Quasigroup Processed Strings Useful for Cryptanalysis
Communications in Computer and Information Science, 2011Verica Bakeva
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