A Note on Classes of Regularity in Semigroups

Bedřich Pondělíček

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Green's relations on a compact semigroup

Bedřich Pondělíček (1972)

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$ℒ$ -classes of inverse semigroups.

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Jill A. Dumesnil (1997)

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On left $C$ - $𝒰$ -liberal semigroups

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

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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 “A Note on Classes of Regularity in Semigroups”

Green's relations on a compact semigroup

ℒ -classes of inverse semigroups.

On m -semigroups

On left C - 𝒰 -liberal semigroups

$ℒ$ -classes of inverse semigroups.

On $m$ -semigroups

On left $C$ - $𝒰$ -liberal semigroups