Groupoids with quasigroup and Latin square properties.

DOI10.1016/j.disc.2007.12.021zbMath1167.20037OpenAlexW2090930077MaRDI QIDQ998383

Jan Gałuszka

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.12.021

zbMATH Keywords

Latin squaresCayley tablesright quasigroupsgroupoid identitiesidempotent groupoids

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Sets with a single binary operation (groupoids) (20N02)

Related Items (1)

Computing the autotopy group of a Latin square by cycle structure

Cites Work

• The unique minimal clone with three essentially binary operations
• On binary polynomials in idempotent commutative groupoids
• On the Foundations of Quasigroups
• Varieties of idempotent commutative groupoids
• ON VARIETIES OF GROUPOID MODES
• On idempotent, commutative, and nonassociative groupoids
• Notes on infinite permutation groups
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