We present and study the concept of m-periodic Gorenstein objects relative to a pair (A, B) of
classes of objects in an abelian category, as a generalization of m-strongly Gorenstein …

Let $(\mathcal {A, B}) $ be a GP-admissible pair and $(\mathcal {Z, W}) $ be a GI-admissible
pair of classes of objects in an abelian category $\mathcal {C} $, and consider the class …

Let (A, B) be a GP-admissible pair and (Z, W) be a GI-admissible pair of classes of objects in
an abelian category C, and consider the class π GP (ω, B, 1) of 1-periodic (ω, B)-Gorenstein …

Enochs and Jenda gave some characterizations of Gorenstein injective and projective
complexes over n-Gorenstein rings. The aim of this article is to generalize these results and …

We extend the notion of virtually Gorenstein rings to the setting of arbitrary rings, and prove
that all rings R of finite Gorenstein weak global dimension are virtually Gorenstein such that …

Let A be an abelian category. For a pair (X, Y) of classes of objects in A, we define the weak
and the (X, Y)-Gorenstein relative projective objects in A. We point out that such objects …

The theory of Gorenstein injective and projective modules start, ed in [4] as an st, udy of
homology for Gorenstein rings, ie, rings which are noetherian on both sides and with finite …

Since Eilenberg and Moore [EM], the relative homological algebra, especially the
Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The …

For a given class of modules A, let A˜ be the class of exact complexes having all cycles in A,
and dw (A) the class of complexes with all components in A. Denote by GI the class of …

Gorenstein Sequences and G, Condition Page 1 JOURNAL OF ALGEBRA 39, 349-359 (1976)
Gorenstein Sequences and G, Condition MARIA GRAZIA MARINARI* Department of …