… ) τ-semisimple ring by(inco) τ-projective module and study their properties. When τ is a trivial
… define the module satisfying(inco) condition and study relatively projective module satisfying…

… of Arinjective modules, where A is a fixed left R-module. It is … -injective, B is a submodule of
A, then 1) M is A/Br- injective; 2… Two modules A and A are said to be relatively r-injective if A …

… -projective modules and the class GPC of GC-projective modules, and the dual classs IC of
C- injective modules and … Relative Gorenstein injective covers with respect to a semidualizing …

… If C = R, then we call a n-strongly DC-projective module a n-strongly Ding projective module.
It … of n-strongly DC-flat R-modules relative to the semidualizing module C. Recall that an R-…

… The stable module category of the group … module category relative to V -projective modules([5]);
over an arbitrary commutative ring however, projective modules are no longer injective, …

… Naturally, we can consider cotorsion modules relative to Y-Gorenstein flat modules, which …
flat modules coincides with that of all projective modules, we have that Q is projective. So Ext1 …

… Relative Strongly Gorenstein ProjectiveModules over Formal TriangularMatrix Rings … In this
paper, we characterize the structure of relative strongly Gorenstein projective modules over T …

… R-module M is Gorenstein projective provided that there exists a totally acyclic complex of
projective modules (… for any module there exists an exact complex of projective modules which …

… to give characterizations of relative covers and envelopes. As an application, it is shown that
for any ring R, if 0 → A → B → C → 0 is an exact sequence of left R-modules, where both A …

… , the class of weak Gorenstein X-projective (injective) modules, the class of Gorenstein
projective (injective) modules and the class of weak Gorenstein projective (injective) modules are …