Ideals and finiteness conditions for subsemigroups
Group Theory
2013-01-28 v2
Abstract
In this paper we consider a number of finiteness conditions for semigroups related to their ideal structure, and ask whether such conditions are preserved by sub- or supersemigroups with finite Rees or Green index. Specific properties under consideration include stability, D=J and minimal conditions on ideals.
Keywords
Cite
@article{arxiv.1204.6602,
title = {Ideals and finiteness conditions for subsemigroups},
author = {R. Gray and V. Maltcev and J. D. Mitchell and N. Ruskuc},
journal= {arXiv preprint arXiv:1204.6602},
year = {2013}
}
Comments
25 pages, revised according to referee's comments, to appear in Glasgow Mathematical Journal