The loop problem for Rees matrix semigroups
Rings and Algebras
2007-05-23 v1
Abstract
We study the relationship between the loop problem of a semigroup, and that of a Rees matrix construction (with or without zero) over the semigroup. This allows us to characterize exactly those completely zero-simple semigroups for which the loop problem is context-free. We also establish some results concerning loop problems for subsemigroups and Rees quotients.
Keywords
Cite
@article{arxiv.math/0702691,
title = {The loop problem for Rees matrix semigroups},
author = {Mark Kambites},
journal= {arXiv preprint arXiv:math/0702691},
year = {2007}
}
Comments
13 pages