On generators and presentation of semidirect products in inverse semigroups

Dombi, Erzsebet and Ruskuc, N (2009) On generators and presentation of semidirect products in inverse semigroups. Bulletin of the Australian Mathematical Society, 79 (3). pp. 353-365. ISSN 0004-9727 (https://doi.org/10.1017/S0004972708000890)

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.

ORCID iDs

Dombi, Erzsebet ORCID: https://orcid.org/0000-0001-7022-4868

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• Item metadata

  Item type:	Article
  ID code:	46375
  Dates:	Date Event June 2009 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	20 Dec 2013 11:21
  Last modified:	31 Jan 2025 20:49
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/46375