The ascending chain condition on principal right ideals for semigroup constructions
Group Theory
2023-07-07 v2
Abstract
We call a semigroup -noetherian if it satisfies the ascending chain condition on principal right ideals, or, equivalently, the ascending chain condition on -classes. We investigate the behaviour of the property of being -noetherian under the following standard semigroup-theoretic constructions: semidirect products, Sch\"utzenberger products, free products, Rees matrix semigroups, Brandt extensions, Bruck-Reilly extensions and semilattices of semigroups.
Cite
@article{arxiv.2302.01847,
title = {The ascending chain condition on principal right ideals for semigroup constructions},
author = {Craig Miller},
journal= {arXiv preprint arXiv:2302.01847},
year = {2023}
}