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

Craig Miller

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)105-128
Number of pages24
JournalMonatshefte für Mathematik
Volume193
Issue number1
Early online date18 Feb 2020
DOIs
Publication statusPublished - 1 Sept 2020

Keywords

  • Semigroup
  • Right congruence
  • Finite generation

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  • Miller_2020_MM_Semigroups_CC

    Copyright © The Author(s) 2020. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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