Semigroups for which every right congruence of finite index is finitely generated
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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.
Miller , C 2020 , ' Semigroups for which every right congruence of finite index is finitely generated ' , Monatshefte für Mathematik , vol. First Online . https://doi.org/10.1007/s00605-020-01391-x
Monatshefte für Mathematik
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DescriptionThe author would like to thank his supervisor, Professor Nik Ruškuc, for his advice and guidance during the writing of this paper, and EPSRC for financial support.
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