Displaying similar documents to “Distributive groupoids and biassociativity.”

Selfdistributive groupoids of small orders

Jaroslav Ježek, Tomáš Kepka (1997)

Czechoslovak Mathematical Journal

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After enumerating isomorphism types of at most five-element left distributive groupoids, we prove that a distributive groupoid with less than 81 elements is necessarily medial.

Ideals in selfdistributive groupoids

Tomáš Kepka (1994)

Commentationes Mathematicae Universitatis Carolinae

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Products of (left) ideals in selfdistributive groupoids are studied.

Quasitrivial left distributive groupoids

Robert El Bashir, Aleš Drápal (1994)

Commentationes Mathematicae Universitatis Carolinae

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Left distributive quasitrivial groupoids are completely described and those of them which are subdirectly irreducible are found. There are also determined all left distributive algebras A = A ( * , ∘ ) such that A ( * ) is a quasitrivial groupoid.

On Equational Theory of Left Divisible Left Distributive Groupoids

Přemysl Jedlička (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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It is an open question whether the variety generated by the left divisible left distributive groupoids coincides with the variety generated by the left distributive left quasigroups. In this paper we prove that every left divisible left distributive groupoid with the mapping a ↦ a 2 surjective lies in the variety generated by the left distributive left quasigroups.