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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

On Containment and Radical Graphs of a Commutative Ring

Saba Al-Kaseasbeh1
  • 1 Tafila Technical University, Jordan

Abstract

In this study, we consider various graphs with the vertices being sets of ideals of a commutative ring with identity, R. How we define the edge set will vary according to distinct ideal theoretic properties. We apply a graphical approach to the study of ideal relationships in commutative rings and from this we obtain some properties of their graphs.

Journal of Mathematics and Statistics
Volume 12 No. 4, 2016, 308-311

DOI: https://doi.org/10.3844/jmssp.2016.308.311

Submitted On: 4 September 2016 Published On: 29 December 2016

How to Cite: Al-Kaseasbeh, S. (2016). On Containment and Radical Graphs of a Commutative Ring. Journal of Mathematics and Statistics, 12(4), 308-311. https://doi.org/10.3844/jmssp.2016.308.311

Open AccessCopyright: © 2016 Saba Al-Kaseasbeh. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Commutative Ring
  • Radical Ideal
  • Connected Graph
  • Complete Graph