Displaying similar documents to “Note on Asymptotic Prime Divisors and Symbolic Powers of Primary Ideals.”

Zero-divisors of content algebras

Peyman Nasehpour (2010)

Archivum Mathematicum

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In this article, we prove that in content extentions 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 diameter of zero-divisor graph under content extensions.