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Algebra Letters ISSN 2051-5502

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Algebra Lett. 2015 (2015), Article ID 1

The graph of a commutative KU-algebra

Samy M. Mostafa, Abdelaziz E. Radwan, Fayza A. Ibrahem, Fatema F. Kareem

Abstract

In This paper, we introduce the associated graphs of commutative KU-algebra. Firstly, we define the KU-graph which is determined by all the elements of commutative KU-algebra as vertices. Secondly, the graph of equivalence classes of commutative KU-algebra is studied and several examples are presented. Also, by using the definition of graph folding, we prove that the graph of equivalence classes and the graph folding of commutative KU-algebra are the same, where the graph is complete bipartite graph.

Published
27 May 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Samy M. Mostafa, Abdelaziz E. Radwan, Fayza A. Ibrahem, Fatema F. Kareem. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S. M. Mostafa, A. E. Radwan, F. A. Ibrahem, F. F. Kareem, The graph of a commutative KU-algebra, Algebra Lett. 2015 (2015), 1.

BibTeX
@article{Mostafa2015,
  author  = {Mostafa, Samy M. and Radwan, Abdelaziz E. and Ibrahem, Fayza A. and Kareem, Fatema F.},
  title   = {The graph of a commutative KU-algebra},
  journal = {Algebra Lett.},
  volume  = {2015},
  year    = {2015},
  pages   = {1},
  doi     = {}
}