Results 111 to 120 of about 166 (137)

Medially nilpotent distributive quasigroups and CH-quasigroups

Siberian Mathematical Journal, 1987
The 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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Remarks on quasigroups and $n$-quasigroups

Publicationes Mathematicae Debrecen, 2022
Ellis, David, Utz, Roy
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Semisymmetrization and Mendelsohn quasigroups

Commentationes Mathematicae Universitatis Carolinae, 2021
Let \(Q\) be a quasigroup. Define \(Q^\Delta\) on \(Q^3\) by \((x_1,x_2,x_3)(y_1,y_2,y_3)=(y_3/x_2,y_1\backslash x_3,x_1y_2)\) as in [\textit{J. D. H. Smith}, Algebra Univers. 38, No. 2, 175--184 (1997; Zbl 0906.20046)] and \(Q^\Gamma\) on \(Q^2\) by \((x_1,x_2)(y_1,y_2)=(x_1y_2/x_2,y_1\backslash x_1y_2)\) as in [\textit{A.
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Quasigroups

Journal of Soviet Mathematics, 1990
See the review in Zbl 0675.20057.
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The plastic quasigroups

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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Totally symmetric quasigroups of order 16

Journal of Combinatorial Designs, 2023
Hy Ginsberg
exaly  

Equational Quantum Quasigroups

Algebras and Representation Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quasigroups and substitution permutation networks: a failed experiment

Cryptologia, 2021
George Teseleanu
exaly  

Cryptographic symmetric structures based on quasigroups

Cryptologia, 2023
George Teseleanu
exaly  

On multiplication groups of relatively free quasigroups isotopic to Abelian groups

Czechoslovak Mathematical Journal, 2005
Ales Drápal, Drápal Ales
exaly