Normally ordered inverse semigroups

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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 languageEnglish
Pages (from-to)418-433
Number of pages16
JournalSemigroup Forum
Volume56
Issue number3
DOIs
Publication statusPublished - 1 Jan 1998

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