arXiv:2002.04910 Abstract | arXiv Analytics

arXiv:2002.04910 [math.GR]Abstract References Reviews Resources

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

Published 2020-02-12Version 1

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.

Categories: math.GR

Subjects: 20M10, 20M30

Keywords: finite index, right congruence, f-noetherian, semigroup classes

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