On Containment and Radical Graphs of a Commutative Ring
- 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.
DOI: https://doi.org/10.3844/jmssp.2016.308.311
Copyright: © 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