Displaying similar documents to “Some finite directly indecomposable non-monogenic entropic quasigroups with quasi-identity”

T-quasigroups (Part I.)

P. Němec, Tomáš Kepka (1971)

Acta Universitatis Carolinae. Mathematica et Physica

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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....

On the structure of finite paramedial quasigroups

V. A. Shcherbacov, D. I. Pushkashu (2010)

Commentationes Mathematicae Universitatis Carolinae

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Information on the structure of finite paramedial quasigroups, including a classification of finite simple paramedial quasigroups, is given. The problem ``Classify the finite simple paramedial quasigroups'' was posed by J. Ježek and T. Kepka at the conference LOOPS'03, Prague 2003.