Zero divisor graphs for modules over commutative rings
نویسندگان
چکیده
منابع مشابه
Associated Graphs of Modules Over Commutative Rings
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. In this paper we introduce a new graph associated to modules over commutative rings. We study the relationship between the algebraic properties of modules and their associated graphs. A topological characterization for the completeness of the special subgraphs is presented. Also modules whose associated graph is complete...
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In this paper we will investigate the interactions between the zero divisor graph, the annihilator class graph, and the associate class graph of commutative rings. Acknowledgements: We would like to thank the Center for Applied Mathematics at the University of St. Thomas for funding our research. We would also like to thank Dr. Michael Axtell for his help and guidance, as well as Darrin Weber f...
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ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2012
ISSN: 1939-2346
DOI: 10.1216/jca-2012-4-2-175