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

Fingerprint

Inverse Semigroup
Generator
Necessary Conditions
Sufficient Conditions
Semilattice
Finitely Generated
Presentation

Keywords

  • semidirect products
  • inverse semigroups
  • generators and presentation

Cite this

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On generators and presentation of semidirect products in inverse semigroups. / Dombi, Erzsebet; Ruskuc, N.

In: Bulletin of the Australian Mathematical Society, Vol. 79, No. 3, 06.2009, p. 353-365.

Research output: Contribution to journalArticle

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