FCP Delta extensions of rings

2020/04/23 by Picavet, Gabriel, Picavet-L'Hermitte, Martine
#13 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.11139

Abstract

We consider ring extensions whose set of all subextensions is stable under the formation of sums, the so-called Delta extensions and exhibit new examples of these extensions.

Related

• Etale extensions with finitely many subextensions
• Splitting ring extensions
• Rings in which all elements are the sum of a central element and an element from Δ(R)
• FIP AND FCP products of ring morphisms
• The Loewy series of an FCP (distributive) ring extension