On varieties of left distributive left idempotent groupoids

David Stanovský

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Displaying similar documents to “On varieties of left distributive left idempotent groupoids”

Group conjugation has non-trivial LD-identities

Aleš Drápal, Tomáš Kepka, Michal Musílek (1994)

Commentationes Mathematicae Universitatis Carolinae

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We show that group conjugation generates a proper subvariety of left distributive idempotent groupoids. This subvariety coincides with the variety generated by all cancellative left distributive groupoids.

Non-idempotent left symmetric left distributive groupoids

Tomáš Kepka (1994)

Commentationes Mathematicae Universitatis Carolinae

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Subdirectly irreducible non-idempotent groupoids satisfying $x \cdot x y = y$ and $x \cdot y z = x y \cdot x z$ are studied.

Non-idempotent left symmetric left distributive groupoids.

Kepka, Tomáš (1994)

Commentationes Mathematicae Universitatis Carolinae

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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.

Subdirectly irreducible non-idempotent left symmetric left distributive groupoids

Emil Jeřábek, Tomáš Kepka, David Stanovský (2005)

Discussiones Mathematicae - General Algebra and Applications

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We study groupoids satisfying the identities x·xy = y and x·yz = xy·xz. Particularly, we focus our attention at subdirectlyirreducible ones, find a description and charecterize small ones.