On finite generation and presentability of Schutzenberger products

Peter Gallagher, Nik Ruskuc

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The finite generation and presentation of Schutzenberger products of semigroups are investigated. A general necessary and sufficient condition is established for finite generation. The Schutzenberger product of two groups is finitely presented as an inverse semigroup if and only if the groups are finitely presented, but is not finitely presented as a semigroup unless both groups are finite.

Original languageEnglish
Pages (from-to)357-367
Number of pages11
JournalJournal of the Australian Mathematical Society
Volume83
Issue number3
DOIs
Publication statusPublished - Dec 2007

Keywords

  • FREE INVERSE-SEMIGROUPS
  • MONOIDS

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