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Primitive inverse semigroups of left I-quotients

2010/05/11 by Nassraddin Ghroda, Ghroda, Nassraddin
Computer Science · Decision Sciences · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #Group Theory (math.GR) #Rings and Algebras (math.RA) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1005.1954

openalex publication_date 2010/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A subsemigroup S of an inverse semigroup Q is a left I-order in Q, if every element in Q can be written as a-1b where a, b ∈ S and a-1 is the inverse of a in the sense of inverse semigroup theory. We study a characterisation of semigroups which have a primitive inverse semigroup of left I-quotients.

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