Displaying similar documents to “Algebraic theory of finite semigroups”

Inflation of Semigroups

Stojan Bogdanović, Svetozar Milić (1987)

Publications de l'Institut Mathématique

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On generalized Ehresmann semigroups

Shoufeng Wang (2017)

Open Mathematics

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As a generalization of the class of inverse semigroups, the class of Ehresmann semigroups is introduced by Lawson and investigated by many authors extensively in the literature. In particular, Gomes and Gould construct a fundamental Ehresmann semigroup CE from a semilattice E which plays for Ehresmann semigroups the role that TE plays for inverse semigroups, where TE is the Munn semigroup of a semilattice E. From a varietal perspective, Ehresmann semigroups are derived from reduction...

Continuous isometric semigroups and reflexivity

Marek Ptak (1991)

Annales Polonici Mathematici

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 Abstract. We consider the reflexivity of a WOT-closed algebra generated by continuous isometric semigroups parametrized by the semigroup of non-negative reals or the semigroup of finite sequences of non-negative reals. It is also proved that semigroups of continuous unilateral multi-parameter shifts are reflexive.

On special Rees matrix semigroups over semigroups

Attila Nagy, Csaba Tóth (2023)

Commentationes Mathematicae Universitatis Carolinae

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We study the right regular representation of special Rees matrix semigroups over semigroups, and discuss their embedding in idempotent-free left simple semigroups.

Transformation semigroups associated to Γ-semigroups

Dariush Heidari, Marzieh Amooshahi (2013)

Discussiones Mathematicae - General Algebra and Applications

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The concept of Γ-semigroups is a generalization of semigroups. In this paper, we associate two transformation semigroups to a Γ-semigroup and we call them the left and right transformation semigroups. We prove some relationships between the ideals of a Γ-semigroup and the ideals of its left and right transformation semigroups. Finally, we study some relationships between Green's equivalence relations of a Γ-semigroup and its left (right) transformation semigroup.