Finite presentability of Bruck-Reilly extensions of Clifford monoids

C. A. Carvalho, N. Ruskuc

Research output: Contribution to journalArticlepeer-review

Abstract

Let M be a Clifford monoid and let theta be an endomorphism of M. We prove that if the Bruck-Reilly extension BR(M,theta) is finitely presented then M is finitely generated. This allows us to derive necessary and sufficient conditions for Bruck-Reilly extensions of Clifford monoids to be finitely presented.

Original languageEnglish
Pages (from-to)801-814
Number of pages14
JournalJournal of Algebra and Its Applications
Volume6
DOIs
Publication statusPublished - Oct 2007

Keywords

  • generators
  • defining relations
  • semilattice
  • group
  • Clifford semigroup
  • Bruck-Reilly extension
  • SEMIGROUPS

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