A note on subdirectly irreducible groupoids

Tomáš Kepka

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Displaying similar documents to “A note on subdirectly irreducible groupoids”

Homomorphic images of subdirectly irreducible groupoids

David Stanovský (2001)

Commentationes Mathematicae Universitatis Carolinae

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A groupoid $H$ is a homomorphic image of a subdirectly irreducible groupoid $G$ (over its monolith) if and only if $H$ has a smallest ideal.

Non-idempotent left symmetric left distributive groupoids.

Kepka, Tomáš (1994)

Commentationes Mathematicae Universitatis Carolinae

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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.

Commutative distributive groupoids

Tomáš Kepka (1978)

Acta Universitatis Carolinae. Mathematica et Physica

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Distributive implication groupoids

Ivan Chajda, Radomir Halaš (2007)

Open Mathematics

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We introduce a concept of implication groupoid which is an essential generalization of the implication reduct of intuitionistic logic, i.e. a Hilbert algebra. We prove several connections among ideals, deductive systems and congruence kernels which even coincide whenever our implication groupoid is distributive.