Semigroups for which every right congruence of finite index is finitely generated
Group Theory
2020-02-13 v1
Abstract
We call a semigroup f-noetherian if every right congruence of finite index on is finitely generated. We prove that every finitely generated semigroup is f-noetherian, and investigate whether the properties of being f-noetherian and being finitely generated coincide for various semigroup classes.
Cite
@article{arxiv.2002.04910,
title = {Semigroups for which every right congruence of finite index is finitely generated},
author = {Craig Miller},
journal= {arXiv preprint arXiv:2002.04910},
year = {2020}
}