Epimorphisms, dominions and H-commutative semigroups
Group Theory
2019-08-08 v2
Abstract
In the present paper, a series of results and examples that explore the structural features of H-commutative semigroups are provided. We also generalise a result of Isbell from commutative semigroups to H-commutative semigroups by showing that the dominion of an H-commutative semigroup is H-commutative. We then use this to generalise Howie and Isbell's result that any H-commutative semigroup satisfying the minimum condition on principal ideals is saturated.
Cite
@article{arxiv.1908.01813,
title = {Epimorphisms, dominions and H-commutative semigroups},
author = {Peter M. Higgins and Noor Alam and Noor Mohammad Khan},
journal= {arXiv preprint arXiv:1908.01813},
year = {2019}
}
Comments
20 pages