FIP AND FCP products of ring morphisms

2013/12/04 by Gabriel Pıcavet, Gabriel Picavet, Picavet, Gabriel +3 · 2 citations
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Rings, Modules, and Algebras #math.AC #msc:13B02

paper · pdf · doi:10.48550/arxiv.1312.1250

41 pages

arxiv created 2013/12/04 · arxiv updated 2013/12/05

Abstract

We characterize some types of FIP and FCP ring extensions R ⊂ S, where S is not an integral domain and R may not be an integral domain. In this paper S is mostly a product of rings related to R and also the idealization of an R-module.

Cited by

• Closures and co-closures attached to FCP ring extensions
• Etale extensions with finitely many subextensions

Related

• Boolean FIP ring extensions
• Closures and co-closures attached to FCP ring extensions
• Etale extensions with finitely many subextensions
• FCP Delta extensions of rings
• Splitting ring extensions