Normally ordered inverse semigroups

Vítor Hugo Bento Dias Fernandes

doi:10.1007/PL00005955

Normally ordered inverse semigroups

Vítor Hugo Bento Dias Fernandes

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

In this paper we study the pseudovariety of inverse semigroups NO of all normally ordered inverse semigroups. We show that the pseudovariety of inverse semigroups PCS generated by all semigroups of injective and order partial transformations on a finite chain consists of all aperiodic elements of NO. Also, we prove that NO is the join pseudovariety of inverse semigroups PCS V G, where G is the pseudovariety of all finite groups.

Original language	English
Pages (from-to)	418-433
Number of pages	16
Journal	Semigroup Forum
Volume	56
Issue number	3
DOIs	https://doi.org/10.1007/PL00005955
Publication status	Published - 1 Jan 1998

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AB - In this paper we study the pseudovariety of inverse semigroups NO of all normally ordered inverse semigroups. We show that the pseudovariety of inverse semigroups PCS generated by all semigroups of injective and order partial transformations on a finite chain consists of all aperiodic elements of NO. Also, we prove that NO is the join pseudovariety of inverse semigroups PCS V G, where G is the pseudovariety of all finite groups.

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Normally ordered inverse semigroups

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