Some properties of a class of polyhedral semigroups based upon the subword reversing method

MİNİSKER M.

Bulletin of the Iranian Mathematical Society, vol.41, no.1, pp.57-63, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 1
  • Publication Date: 2015
  • Journal Name: Bulletin of the Iranian Mathematical Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.57-63
  • Keywords: Complete, Polyhedral semigroup, Presentation, Subword reversing
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

In this paper a certain class of polyhedral semigroups which has a presentation < a, b | a2n = b2n = (ab)n > is examined. The completeness of the presentation and solvability of word problem of this class of semigroups is determined. Moreover the combinatorial distance between two words is determined.