Semigroups for which every right congruence of finite index is finitely generated
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.
Citation
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
Publication
Monatshefte für Mathematik
Status
Peer reviewed
ISSN
0026-9255Type
Journal article
Description
The 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.Collections
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