Displaying similar documents to “Selfdistributive groupoids of small orders”

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.

Ideals in selfdistributive groupoids

Tomáš Kepka (1994)

Commentationes Mathematicae Universitatis Carolinae

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