Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions

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3 Citations (Scopus)

Abstract

It is known that, for semigroups, the property of admitting a finite presentation is preserved on passing to subsemigroups and extensions of finite Rees index. The present paper shows that the same holds true for Malcev, cancellative, left-cancellative and right-cancellative presentations. (A Malcev (respectively, cancellative, left-cancellative, right-cancellative) presentation is a presentation of a special type that can be used to define any group-embeddable (respectively, cancellative, left-cancellative, right-cancellative) semigroup.).

Original languageEnglish
Pages (from-to)39-61
Number of pages23
JournalJournal of the Australian Mathematical Society
Volume84
Issue number1
DOIs
Publication statusPublished - Feb 2008

Keywords

  • Maclev presentation
  • Cancellative
  • Subsemigroup
  • Finite index
  • Rewriting

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