Finiteness of homological dimensions of Ext modules
Kaito Kimura
Source record
Source: Crossref
Published: Jul 13, 2026
DOI: 10.4153/s000843952610229x
Open original source ↗Source 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.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.