Local subsemigroups and variants of some class of semigroups
Group Theory
2019-10-31 v1
Abstract
For an element a in a semigroup S the local subsemigroup of S with respect to a is the subsemigroup aSa of S and the variant of S with respect to a is a semigroup with underlying set S with a sandwich operation xy = xay for all x, y in S. In this paper we discuss the structures of local subsemigroups of full transformation semigroups and symmetric inverse monoids. It is also shown that the set of all local subsemigroups of finite symmetric inverse monoids and the set of all variants of all finite symmetric inverse monoids are same upto isomorphism.
Keywords
Cite
@article{arxiv.1910.13658,
title = {Local subsemigroups and variants of some class of semigroups},
author = {Siji Michael and P. G. Romeo},
journal= {arXiv preprint arXiv:1910.13658},
year = {2019}
}
Comments
8 pages, 2 figures