Maximal divisorial ideals and t-maximal ideals

2003/09/02 by Stefania Gabelli, Gabelli, Stefania, Moshe Roitman +1
Mathematics · #Advanced Topics in Algebra #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #math.AC #msc:13C13 #msc:13G05

paper · pdf · doi:10.48550/arxiv.math/0309047

arxiv created 2003/09/02 · arxiv updated 2009/12/01

Abstract

We give conditions for a maximal divisorial ideal to be t-maximal and show with examples that, even in a completely integrally closed domain, maximal divisorial ideals need not be t-maximal.

Related

• Complete integral closure and strongly divisorial prime ideals
• w-Divisorial Domains
• Maximal ideals in module categories and applications
• Which are the Maximal Ideals ?
• Maximal non valuative domains