… used to define the Gorenstein projective modules over a … Gorenstein projective. The
proof of this result hinges upon our analysis of Gorenstein subcategories of abelian categories…

… We study a kind of stability of X -Gorenstein projective modules and settle in affirmative the
following question: given an exact sequence of X -Gorenstein projective left R-modules G = ... …

… We show that an iteration of the procedure used to define the Gorenstein … the stability of
Gorenstein complexes by means of Theorems 2.7 and 2.13 and get similar results for Gorenstein …

… is completely determined by the Gorenstein flatness of all its … Gorenstein flat objects in the
category complexes possess many properties as the Gorenstein flat modules in the category of …

… the stability question of subcategories of an abelian category A … to the stability question on
these categories under the … well-known stability question of Gorenstein categories raised by …

… , while we focus on the specific case of Gorenstein projective and Gorenstein injective
modules in the general setting. Let us first adopt the following notation. Let G(2)(P(R)) (resp., G(2) …

… In this paper we are concerned with another kind of stability of the class of Gorenstein flat
modules via-`a-vis the very Gorenstein process used to define Gorenstein flat modules. We …

… indicates, a degree of stability appears to be settling over certain aspects of the subject. … it
is Chapter 8 on p-constrained and p-stable groups and Chapter 9 on groups of even order that …

… for a triangulated category. First, we discuss the stability of ξ-Gorenstein projective objects, …
, we consider the stability of the subcategory GP(ξ) of all ξGorenstein projective objects, which …

… 例えば, 体 上の有限群の群環や 0 次元可換 Gorenstein 多元環が自己入射多元環である. … (1)
一般に N 次数付き自己入射多元環が Gorenstein パラメータをもつとは限らない. (2) 局所的な N 次数…