Zero-divisors of content algebras

06/30/2020

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by   Peyman Nasehpour, Ph.D., et al.

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In this article, we prove that in content extensions minimal primes extend to minimal primes and discuss zero-divisors of a content algebra over a ring who has Property (A) or whose set of zero-divisors is a finite union of prime ideals. We also examine the preservation of the diameter of the zero-divisor graph under content extensions.