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

2020/02/12 by Miller, Craig
#20M10 #20M30 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2002.04910

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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