Characterizing regular local rings via analogues of (*)-properties
Abstract
Let R be a commutative noetherian local ring. As analogues of (∗)-properties introduced by Ghosh, Gupta, and Puthenpurakal, we introduce and study (A)-properties, (B)-properties, and (C)-relations. Using these three notions, we establish a criterion for a local ring to be regular. This recovers and refines the main result of Ghosh, Gupta, and Puthenpurakal and has further applications.
Fields of Study & Subjects
Rings
Modules
and Algebras
Advanced Topics in Algebra
Publication details
- Journal / source
- Communications in Algebra
- Pages
- 1–8
- Publication date
- 7 May 2026
- Language
- EN