A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
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.
annihilator ideal, associated prime, zero divisor graph
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.
Communications in Algebra