Quasi-Prufer extensions of rings

2016/10/31 by Gabriel Picavet, Picavet, Gabriel, Martine Picavet-L'Hermitte +1
Mathematics · #13 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13

paper · pdf · doi:10.48550/arxiv.1610.10023

38 pages

arxiv created 2016/10/31 · arxiv updated 2016/11/01

Abstract

We introduce quasi-Prufer extensions of rings in order to relativize the notion of quasi-Prufer domains and to take into account some contexts recently introduced in the literature. We also introduce almost-Prufer ring extensions. Characterizations and properties are given. In particular, we examine the relationship with the finite fibers property.

Related

• Around Prufer extensions of rings
• On Prüfer-like conditions
• Prüfer-Like Conditions in Subring Retracts and Applications
• On quasi-Prüfer and UMt domains
• Prüfer- like conditions in the amalgamated duplication of a ring along an ideal