A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors

Abstract

We study the zero divisor graph determined by equivalence classes of zero divisors of a commutative Noetherian ring R. We demonstrate how to recover information about R from this structure. In particular, we determine how to identify associated primes from the graph.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1080/00927872.2010.488675

Keywords

annihilator ideal, associated prime, zero divisor graph

Publication Date

2011

Journal Title

Communications in Algebra

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