On generators and presentation of semidirect products in inverse semigroups

Erzsebet Dombi, N Ruskuc

Research output: Contribution to journalArticle

3 Citations (Scopus)

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
DOIs
Publication statusPublished - Jun 2009

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Keywords

  • semidirect products
  • inverse semigroups
  • generators and presentation

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