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
On rings whose annihilating-ideal graphs are blow-ups of a class of Boolean graphs
Sign Up to like & getrecommendations! Published in 2017 at "Journal of The Korean Mathematical Society"
DOI: 10.4134/jkms.j160283
Abstract: For a finite or an infinite set X, let 2 be the power set of X. A class of simple graph, called strong Boolean graph, is defined on the vertex set 2 \ {X, ∅},… read more here.
Keywords: graphs; annihilating ideal; graph; strong boolean ... See more keywords