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

Document Type : Research Paper


Mustafa Kemal University Department of Mathematics


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.


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