Zero-Divisors of Content Algebras

Details Zero-Divisors of Content Algebras Zero-Divisors of Content Algebras

2010-06-22

arxiv.org/abs/1006.4290v1

Mathematics

Commutative Algebra

To appear in Archivum Mathematicum (Brno)

Scientific paper

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.

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