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arxiv: 0801.0086 · v2 · submitted 2007-12-29 · 🧮 math.AC

A zero divisor graph determined by equivalence classes of zero divisors

classification 🧮 math.AC
keywords zerographclassesdetermineddivisordivisorsequivalenceassociated
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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.

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