Primitive inverse semigroups of left I-quotients

Details Primitive inverse semigroups of left I-quotients Primitive inverse semigroups of left I-quotients

2010-05-11

arxiv.org/abs/1005.1954v2

Mathematics

Rings and Algebras

The new version differs from that earlier uploaded in that (a) we have simplified the statement of Theorem 3.1 (by removing on

Scientific paper

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.

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