Some criteria for detecting large homomorphisms of local rings

2019/03/10 by Gheibi, Mohsen, Takahashi, Ryo
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.03900

Abstract

We study ideals in a local ring R whose quotient rings induce large homomorphisms of local rings. We characterize such ideals over complete intersections, Koszul rings, and over some classes of Golod rings.

Related

• Ring homomorphisms and local rings with quasi-decomposable maximal ideal
• The Golod property for powers of ideals and Koszul ideals
• Some homological criteria for regular, complete intersection and\n Gorenstein rings
• Conditions for the Yoneda algebra of a local ring to be generated in low degrees
• Detecting Koszulness and related homological properties from the algebra\n structure of Koszul homology