T-quasigroups (Part I.)
P. Němec, Tomáš Kepka (1971)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “On multiplication groups of relatively free quasigroups isotopic to Abelian groups”
T-quasigroups (Part I.)
Semisymmetrization and Mendelsohn quasigroups
Jonathan D. H. Smith (2020)
Commentationes Mathematicae Universitatis Carolinae
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The semisymmetrization of an arbitrary quasigroup builds a semisymmetric quasigroup structure on the cube of the underlying set of the quasigroup. It serves to reduce homotopies to homomorphisms. An alternative semisymmetrization on the square of the underlying set was recently introduced by A. Krapež and Z. Petrić. Their construction in fact yields a Mendelsohn quasigroup, which is idempotent as well as semisymmetric. We describe it as the Mendelsohnization of the original quasigroup....
Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity
Grzegorz Bińczak, Joanna Kaleta (2014)
Discussiones Mathematicae - General Algebra and Applications
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In this paper we show that there exists an infinite family of pairwise non-isomorphic entropic quasigroups with quasi-identity which are directly indecomposable and they are two-generated.
On quasiidentities of transitive quasigroups
Ján Duplák (1984)
Mathematica Slovaca
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T-quasigroups (Part II.)
Tomáš Kepka, P. Němec (1971)
Acta Universitatis Carolinae. Mathematica et Physica
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