Zero-Divisors of Content Algebras

Abstract

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.

Published at ARCHIVUM MATHEMATICUM (BRNO) Tomus 46 (2010), 237-249. arXiv admin note: substantial text overlap with arXiv:0807.1835, arXiv:1208.5637

Cited by in corpus (2)

• The Ohm-Rush content function
• A generalization of zero-divisor graphs