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Right noetherian semigroups

Craig Miller, Nik Ruskuc

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

Abstract

A semigroup S is right noetherian if every right congruence on S is finitely generated. In this paper we present some fundamental properties of right noetherian semigroups, discuss how semigroups relate to their substructures with regard to the property of being right noetherian, and investigate whether this property is preserved under various semigroup constructions
Original languageEnglish
Pages (from-to)13-48
Number of pages36
JournalInternational Journal of Algebra and Computation
Volume30
Issue number01
Early online date25 Sept 2019
DOIs
Publication statusPublished - Feb 2020

Keywords

  • Right noetherian semigroup
  • Right congruence
  • Semigroup act
  • Finitely generated
  • Schützenberger group
  • Direct product

Access to Document

  • Right noetherian semigroups2

    Copyright © 2019 World Scientific Publishing Company. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1142/S0218196719500632

    Accepted author manuscript, 366 KBLicence: Unspecified

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