Title of article :
Diagram Groups over Union of Two Semigroup Presentations of Natural Numbers by Adding Relations
Author/Authors :
Gheisari, Yousof Islamic University Branch of Boushehr, ايران , Gheisari, Yousof Universiti Kebangsaan Malaysia - Faculty of Science and Technology, Malaysia , Bin Ahmad, Abd Ghafur Universiti Kebangsaan Malaysia - Faculty of Science and Technology, Malaysia
Abstract :
For any given semigroup presentation P , we may obtain diagram groups with base point u, where u is a word in generating set. The purpose of this paper is to determine the graphs Γpn(n in N), which are obtained from diagram group for union of two semigroup presentations with two and three different initial generators. The general polynomial of vertices, edge in these graphs with three and two different initial generators by adding a relation will be computed.
Keywords :
Diagram groups , semigroup presentation , generators , relation , initial generators
Journal title :
Matematika
Journal title :
Matematika