Ring-theoretic properties of PVMDs

2006/07/05 by Said El Baghdadi, Baghdadi, Said El, Stefania Gabelli +1
Mathematics · #13A15 #13A18 #13F05 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A15 #msc:13A18 #msc:13F05

paper · pdf · doi:10.48550/arxiv.math/0607125

15 pages, to appear in Communications in Algebra

arxiv created 2006/07/05 · arxiv updated 2009/12/01

Abstract

We extend to Prüfer v-multiplication domains some distinguished ring-theoretic properties of Prüfer domains. In particular we consider the t##-property, the t-radical trace property, w-divisoriality and w-stability.

Related

• A "v-operation free" approach to Prüfer v-multiplication domains
• Idempotence and divisorialty in Prüfer-like domains
• Module-Theoretic Characterizations of Prufer v-Multiplication Domains
• Completely integrally closed Prufer v-multiplication domains
• Intersections of quotient rings and Pruefer v-multiplication domains