Title

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

Recommended Citation

Spiroff, Sandra, and Cameron Wickham. "A zero divisor graph determined by equivalence classes of zero divisors." Communications in Algebra 39, no. 7 (2011): 2338-2348.

Journal Title

Communications in Algebra

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