On generators and presentations of semidirect products in inverse semigroups

Erzsebet Rita Dombi, Nik Ruskuc

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)
7 Downloads (Pure)

Abstract

In this paper we prove two main results. The first is a necessary and sufficient condition for a semidirect product of a semilattice by a group to be finitely generated. The second result is a necessary and sufficient condition for such a semidirect product to be finitely presented.

Original languageEnglish
Pages (from-to)353-365
Number of pages13
JournalBulletin of the Australian Mathematical Society
Volume79
Issue number3
Early online date17 Apr 2009
DOIs
Publication statusPublished - Jun 2009

Keywords

  • Inverse semigroups
  • Semidirect products
  • Generators
  • Presentations
  • Groups
  • Semilattices
  • Actions
  • Finite generation
  • Presentability
  • Monoids

Fingerprint

Dive into the research topics of 'On generators and presentations of semidirect products in inverse semigroups'. Together they form a unique fingerprint.

Cite this