Let be a class of left R-modules that contains all projective left R-modules. We study a kind
of stability of-Gorenstein projective modules and settle in affirmative the following question …

Let $\mathcal {C} $ be a triangulated category with a proper class $\xi $ of triangles.
Asadollahi and Salarian introduced and studied $\xi $-Gorenstein projective and $\xi …

For a ring R and an additive subcategory CC of the category Mod\nolimits R Mod R of left R-
modules, under some conditions, we prove that the right Gorenstein subcategory of …

We prove that if the Frobenius functor F (from the category of left R-modules to the category
of left S-modules) is faithful, then for any R-module X, the Gorenstein flat dimension of X is …

摘要 Let A and B be rings and U be a (B, A)-bimodule. If UB has finite flat dimension, UA has
finite flat dimension and U circle times (A) C is a cotorsion left B-module for any cotorsion left …

Given a non-negative integer $ n $ and a ring $ R $ with identity, we construct an abelian
model structure on the category of left $ R $-modules where the class of cofibrant objects …

We introduce and investigate Tate homology \rmtor of modules of finite Gorenstein flat
dimension. In particular, we show that over a right coherent ring R, \rmtor_i^R(M,N)≅ …

Let (L, A) be a bi-complete duality pair. We consider when the relative Gorenstein modules
with respect to such a duality pair coincide with the classical homological modules. As …

In this paper, we study the pair (GP(R),GP(R)^⊥) where GP(R) is the class of all Gorenstein
projective modules. We prove that it is a complete hereditary cotorsion theory, provided …

We study homological and homotopical aspects of Gorenstein flat modules over a ring with
respect to a duality pair $(\mathcal {L, A}) $. These modules are defined as cycles of exact …