Finiteness of homological dimensions of Ext modules
Abstract
Abstract In this article, we study how certain homological properties of modules over a commutative Noetherian ring interact with each other. Specifically, we investigate how the finiteness of the homological dimensions of the Ext modules between two finitely generated modules affects the homological dimensions of the modules themselves. One of our main results shows that if all Ext modules up to a suitably chosen bound have finite projective dimension, then one module has finite projective or injective dimension exactly when the other module does.
Fields of Study & Subjects
Rings
Modules
and Algebras
Publication details
- Journal / source
- Canadian Mathematical Bulletin
- Publisher
- Canadian Mathematical Society
- Pages
- 1–17
- Publication date
- 13 July 2026
- Language
- EN