The structure of two generalization of the symmetric inverse semigroups

Details The structure of two generalization of the symmetric inverse semigroups The structure of two generalization of the symmetric inverse semigroups

2006-02-27

arxiv.org/abs/math/0602623v2

Mathematics

Group Theory

24 pages

Scientific paper

We introduce two generalisations of the full symmetric inverse semigroup ${\mathcal{I}}_X$ and its dual semigroup ${\mathcal{I}^{\ast}}_X$ -- inverse semigroups ${\mathcal{PI}^{\ast}}_X$ and ${\overline{\mathcal{PI}^{\ast}}}_X$. Both of them have the same carrier and contain $\IS_X$. Binary operations on ${\mathcal{PI}^{\ast}}_X$ and ${\overline{\mathcal{PI}^{\ast}}}_X$ are reminiscent of the multiplication in ${\mathcal{I}}_X$. We use a convenient geometric way to realise elements from these two semigroups. This enables us to study efficiently their inner properties and to compare them with the corresponding properties of $\IS_X$ and ${\mathcal{I}^{\ast}}_X$.

Affiliated with

Also associated with

No associations

Rating

The structure of two generalization of the symmetric inverse semigroups 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 The structure of two generalization of the symmetric inverse semigroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The structure of two generalization of the symmetric inverse semigroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485908