2010/08/19 by Nassraddin Ghroda, N. Ghroda, Ghroda, N. · 1 citation
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #Geometric and Algebraic Topology #Rings and Algebras (math.RA) #math.RA #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1008.3241
arxiv created 2010/08/19 · openalex publication_date 2010/08/19 · arxiv updated 2010/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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. If we insist on a and b being R-related in Q, then we say that S is a straight left I-order in Q. We give necessary and sufficient conditions for a semigroup to be a left I-order in a bisimple inverse ω-semigroup.