Diagram Groups over Union of Two Semigroup Presentations of Natural Numbers by Adding Relations

Authors

  • Yousof Gheisari
  • Abd Ghafur Ahmad

DOI:

https://doi.org/10.11113/matematika.v26.n.558

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 Τpn(n € 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.

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Published

01-12-2010

Issue

Volume 26 (December 2010)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

Diagram Groups over Union of Two Semigroup Presentations of Natural Numbers by Adding Relations. (2010). MATEMATIKA, 26, 153-156. https://doi.org/10.11113/matematika.v26.n.558