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

Craig Miller

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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.
Original languageEnglish
Number of pages24
JournalMonatshefte für Mathematik
VolumeFirst Online
Early online date18 Feb 2020
DOIs
Publication statusE-pub ahead of print - 18 Feb 2020

Keywords

  • Semigroup
  • Right congruence
  • Finite generation

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