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A zero divisor graph determined by equivalence classes of zero divisors

Commutative Algebra 2009-08-17 v2

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.

Keywords

Cite

@article{arxiv.0801.0086,
  title  = {A zero divisor graph determined by equivalence classes of zero divisors},
  author = {Sandra Spiroff and Cameron Wickham},
  journal= {arXiv preprint arXiv:0801.0086},
  year   = {2009}
}

Comments

corrected typos and changed content

R2 v1 2026-06-21T09:58:20.179Z