Bisimple inverse $ω$-semigroups of left I-quotients

Details Bisimple inverse $ω$-semigroups of left I-quotients Bisimple inverse $ω$-semigroups of left I-quotients

2010-08-19

arxiv.org/abs/1008.3241v1

Mathematics

Rings and Algebras

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. If we insist on $a$ and $b$ being $\mathcal{R}$-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 $\omega$-semigroup.

Affiliated with

Also associated with

No associations

Rating

Bisimple inverse $ω$-semigroups of left I-quotients does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bisimple inverse $ω$-semigroups of left I-quotients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bisimple inverse $ω$-semigroups of left I-quotients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-134780