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arXiv · 2002.04910

Semigroups for which every right congruence of finite index is finitely generated

Craig Miller
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Abstract

We call a semigroup $S$ f-noetherian if every right congruence of finite index on $S$ 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.

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Craig Miller. 2020-02-12. Semigroups for which every right congruence of finite index is finitely generated. https://arxiv.org/abs/2002.04910

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