Zero-Divisors of Content Algebras
Commutative Algebra
2016-09-15 v2
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.
Cite
@article{arxiv.1006.4290,
title = {Zero-Divisors of Content Algebras},
author = {Peyman Nasehpour},
journal= {arXiv preprint arXiv:1006.4290},
year = {2016}
}
Comments
Published at ARCHIVUM MATHEMATICUM (BRNO) Tomus 46 (2010), 237-249. arXiv admin note: substantial text overlap with arXiv:0807.1835, arXiv:1208.5637