• THE ELEMENT IDEAL GRAPHS
Abstract
Let R be a commutative ring with identity and let x be an element of R. The Element Ideal Graph is a graph whose vertex set is the set of nontrivial ideals of R and two vertices I and J are adjacent if and only if . In this paper we introduce the concept of element ideal graph we give the main properties of such graph, we also investigate the interplay between the graph theoretic properties of and the annihilating ideal graph AG(R).
Keywords
Zero divisor graph, annihilating ideal graph and element ideal graph.
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