Primitive inverse semigroups of left I-quotients

Nassraddin Ghroda

Primitive inverse semigroups of left I-quotients

Rings and Algebras 2010-06-08 v2 Group Theory

Authors: Nassraddin Ghroda

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 $a^{-1}b$ where $a, b \in S$ 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.

Keywords

primitive inverse semigroups left I-quotients left I-order semigroup characterization

Cite

@article{arxiv.1005.1954,
  title  = {Primitive inverse semigroups of left I-quotients},
  author = {Nassraddin Ghroda},
  journal= {arXiv preprint arXiv:1005.1954},
  year   = {2010}
}

Comments

The new version differs from that earlier uploaded in that (a) we have simplified the statement of Theorem 3.1 (by removing one condition that proved to be superfluous) and (b) we have streamlined the final two sections. In addition, we have made some further minor changes

Primitive inverse semigroups of left I-quotients

Abstract

Keywords

Cite

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