Classifying annihilating-ideal graphs of commutative artinian rings
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DOI: 10.1080/00927872.2018.1439040
Abstract: ABSTRACT In this article we investigate the annihilating-ideal graph of a commutative ring, introduced by Behboodi and Rakeei in [10]. Our main goal is to determine which algebraic properties of a ring are reflected in… read more here.
Keywords: graphs commutative; classifying annihilating; annihilating ideal; artinian rings ... See more keywords
The essential ideal graph of a commutative ring
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DOI: 10.1142/s1793557118500584
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… read more here.
Keywords: graph commutative; essential ideal; graph; ideal graph ... See more keywords