Idempotents of compact monothetic semiclosure semigroups

Ján Šipoš

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Bogdanović, Stojan, Ćirić, Miroslav (1991)

Publications de l'Institut Mathématique. Nouvelle Série

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$ℒ$ -classes of inverse semigroups.

Kobayashi, Shigeru, Shimada, Haruki (2001)

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A Note on the Structure of Some Types of Semigroups

Blanka Kolibiarová (1967)

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Selfdistributive groupoids. Part D1: Left distributive semigroups

Jaroslav Ježek, Tomáš Kepka (2006)

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On left $C$ - $𝒰$ -liberal semigroups

Yong He, Fang Shao, Shi-qun Li, Wei Gao (2006)

Czechoslovak Mathematical Journal

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In this paper the equivalence ${\tilde{𝒬}}^{U}$ on a semigroup $S$ in terms of a set $U$ of idempotents in $S$ is defined. A semigroup $S$ is called a $𝒰$ -liberal semigroup with $U$ as the set of projections and denoted by $S (U)$ if every ${\tilde{𝒬}}^{U}$ -class in it contains an element in $U$ . A class of $𝒰$ -liberal semigroups is characterized and some special cases are considered.

Displaying similar documents to “Idempotents of compact monothetic semiclosure semigroups”

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On left C - 𝒰 -liberal semigroups

$ℒ$ -classes of inverse semigroups.

On left $C$ - $𝒰$ -liberal semigroups