Add to ORKGAbstract. The concept of Gorenstein dimension, defined by Auslander and Bridger for finitely generated modules over a Noetherian ring, is studied in the context of finitely presented modules over a coherent ring. A generalization of the Auslander-Bridger formula is established and is used as a cornerstone in the development of a theory of coherent Gorenstein rings. 1
Abstract. Let R be a homomorphic image of a Gorenstein local ring. Re-cent work has shown that there...
AbstractWe introduce reduced Bass numbers and show that, in the Gorenstein case, the top one coincid...
This is a summary of my joint work with T. Shiba. Recall that a ring A is said to be an Auslander-Go...
The concept of Gorenstein dimension, defined by Auslander and Bridger for finitely generated modules...
In this dissertation, we study the so-called totally re°exive modules and the notion of Goren-stein ...
summary:Let $R$ be a left and right Noetherian ring and $C$ a semidualizing $R$-bimodule. We introdu...
Abstract. In this paper, we introduce a new generalization of coherent rings using the Gorenstein pr...
We show that every finitely generated left R-module in the Auslander class over an n-perfect ring R ...
This book is intended as a reference for mathematicians working with homological dimensions in commu...
AbstractAccording to Auslander, a Noetherian ring R is called n-Gorenstein for n ≥ 1 if in a minimal...
Recently, Dwyer and Greenless established a Morita-like equivalence between categories consisting of...
AbstractA new homological dimension, called G*-dimension, is defined for every finitely generated mo...
Gorenstein rings are presented and characterized, and the concept of Gorenstein dimension, which par...
AbstractGorenstein homological dimensions are refinements of the classical homological dimensions, a...
Abstract. Let R be a homomorphic image of a Gorenstein local ring. Recent work has shown that there ...
Abstract. Let R be a homomorphic image of a Gorenstein local ring. Re-cent work has shown that there...
AbstractWe introduce reduced Bass numbers and show that, in the Gorenstein case, the top one coincid...
This is a summary of my joint work with T. Shiba. Recall that a ring A is said to be an Auslander-Go...
The concept of Gorenstein dimension, defined by Auslander and Bridger for finitely generated modules...
In this dissertation, we study the so-called totally re°exive modules and the notion of Goren-stein ...
summary:Let $R$ be a left and right Noetherian ring and $C$ a semidualizing $R$-bimodule. We introdu...
Abstract. In this paper, we introduce a new generalization of coherent rings using the Gorenstein pr...
We show that every finitely generated left R-module in the Auslander class over an n-perfect ring R ...
This book is intended as a reference for mathematicians working with homological dimensions in commu...
AbstractAccording to Auslander, a Noetherian ring R is called n-Gorenstein for n ≥ 1 if in a minimal...
Recently, Dwyer and Greenless established a Morita-like equivalence between categories consisting of...
AbstractA new homological dimension, called G*-dimension, is defined for every finitely generated mo...
Gorenstein rings are presented and characterized, and the concept of Gorenstein dimension, which par...
AbstractGorenstein homological dimensions are refinements of the classical homological dimensions, a...
Abstract. Let R be a homomorphic image of a Gorenstein local ring. Recent work has shown that there ...
Abstract. Let R be a homomorphic image of a Gorenstein local ring. Re-cent work has shown that there...
AbstractWe introduce reduced Bass numbers and show that, in the Gorenstein case, the top one coincid...
This is a summary of my joint work with T. Shiba. Recall that a ring A is said to be an Auslander-Go...