Let R be a commutative ring with identity. The essential ideal graph of R, denoted by ℰR, is a graph whose vertex set is the set of all nonzero proper… Click to show full abstract
Let R be a commutative ring with identity. The essential ideal graph of R, denoted by ℰR, is a graph whose vertex set is the set of all nonzero proper ideals of R and two vertices I and J are adjacent whenever I + J is an essential ideal. In this paper, we initiate the study of the essential ideal graph of a commutative ring and we investigate its properties.
Keywords:
graph commutative;
essential ideal;
graph;
ideal graph;
commutative ring
Journal Title: Asian-european Journal of Mathematics
Year Published: 2017
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Journal Title: Asian-european Journal of Mathematics
Year Published: 2017
Link to full text (if available)
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recommendations!