AbstractWe introduce the notion of Auslander–Gorenstein resolution and show that a Noetherian ring is an Auslander–Gorenstein ring if it admits an Auslander–Gorenstein resolution over another Auslander–Gorenstein ring
We show that every finitely generated left R-module in the Auslander class over an n-perfect ring R ...
We study the symmetric Auslander condition (SAC) which is equivalent to the generalized Auslander-Re...
AbstractAn Auslander–Reiten formula for complexes of modules is presented. This formula contains as ...
We introduce the notion of Auslander–Gorenstein resolution and show that a Noetherianring is an Ausl...
AbstractWe introduce the notion of Auslander–Gorenstein resolution and show that a Noetherian ring i...
This is a summary of my joint work with T. Shiba. Recall that a ring A is said to be an Auslander-Go...
AbstractA ring with an Auslander dualizing complex is a generalization of an Auslander–Gorenstein ri...
AbstractAccording to Auslander, a Noetherian ring R is called n-Gorenstein for n ≥ 1 if in a minimal...
summary:Let $R$ be a left and right Noetherian ring and $C$ a semidualizing $R$-bimodule. We introdu...
The concept of Gorenstein dimension, defined by Auslander and Bridger for finitely generated modules...
AbstractLet A be a noetherian Auslander regular ring and δ the canonical dimension function on A-mod...
AbstractWe will study homological properties of noetherian rings. As a bridge between the n-Gorenste...
Let R be a complete local Gorenstein ring of dimension one, with maximal ideal m. We show ...
In studying Nakayama\u27s 1958 conjecture on rings of infinite dominant dimension, Auslander and Rei...
AbstractWe give counterexamples to the following conjecture of Auslander: given a finitely generated...
We show that every finitely generated left R-module in the Auslander class over an n-perfect ring R ...
We study the symmetric Auslander condition (SAC) which is equivalent to the generalized Auslander-Re...
AbstractAn Auslander–Reiten formula for complexes of modules is presented. This formula contains as ...
We introduce the notion of Auslander–Gorenstein resolution and show that a Noetherianring is an Ausl...
AbstractWe introduce the notion of Auslander–Gorenstein resolution and show that a Noetherian ring i...
This is a summary of my joint work with T. Shiba. Recall that a ring A is said to be an Auslander-Go...
AbstractA ring with an Auslander dualizing complex is a generalization of an Auslander–Gorenstein ri...
AbstractAccording to Auslander, a Noetherian ring R is called n-Gorenstein for n ≥ 1 if in a minimal...
summary:Let $R$ be a left and right Noetherian ring and $C$ a semidualizing $R$-bimodule. We introdu...
The concept of Gorenstein dimension, defined by Auslander and Bridger for finitely generated modules...
AbstractLet A be a noetherian Auslander regular ring and δ the canonical dimension function on A-mod...
AbstractWe will study homological properties of noetherian rings. As a bridge between the n-Gorenste...
Let R be a complete local Gorenstein ring of dimension one, with maximal ideal m. We show ...
In studying Nakayama\u27s 1958 conjecture on rings of infinite dominant dimension, Auslander and Rei...
AbstractWe give counterexamples to the following conjecture of Auslander: given a finitely generated...
We show that every finitely generated left R-module in the Auslander class over an n-perfect ring R ...
We study the symmetric Auslander condition (SAC) which is equivalent to the generalized Auslander-Re...
AbstractAn Auslander–Reiten formula for complexes of modules is presented. This formula contains as ...
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