Coherency and constructions for monoids

Y. Dandan, V. Gould, M. Hartmann, Nik Ruskuc, R-E. Zenab

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
2 Downloads (Pure)

Abstract

A monoid S is right coherent if every finitely generated subact of every finitely presented right S-act is finitely presented. This is a finiteness condition, and we investigate whether or not it is preserved under some standard algebraic and semigroup theoretic constructions: subsemigroups, homomorphic images, direct products, Rees matrix semi-groups, including Brandt semigroups, and Bruck–Reilly extensions. We also investigate the relationship with the property of being weakly right noetherian, which requires all right ideals of S to be finitely generated.
Original languageEnglish
Pages (from-to)1461-1488
Number of pages28
JournalQuarterly Journal of Mathematics
Volume71
Issue number4
Early online date11 Dec 2020
DOIs
Publication statusPublished - Dec 2020

Keywords

  • Monoid
  • S-act
  • Coherency
  • Regular
  • Finitary properties

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