Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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

Document Type : Research Paper

Author
Mustafa Kemal University Department of Mathematics
Abstract
In this paper a certain class of polyhedral semigroups which has a presentation $<a‎, ‎b mid a^{2n}=b^{2n}=(ab)^{n}>$ 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.
Keywords
Subjects

Volume 41, Issue 1 - Serial Number 1
February 2015
Pages 57-63

  • Receive Date 25 September 2013
  • Revise Date 11 December 2013
  • Accept Date 12 December 2013