… dimension at most one, and by $$\mathcal{R}_A$$ the full subcategory of ind A formed by
the modules X whose all successors in ind A have injective dimension at most one. Recently, …

… Since injective modules form a subclass of C', we can form an exact sequence … C-projective
dimension r (denoted C-projdimM = T). iC-projective resolutions and iC-projective dimension …

… generated left A-modules. For XE mod A we denote by pdAX the projective dimension of X.
For n CN we consider the subcategory SM~<-"(A) consisting of those A-modules X with pdAX …

… Gorenstein projective modules. One considers the Gorenstein projective dimensions of
modules and … We omit the dual version, ie, the ones for Gorenstein injective modules. The main …

… E( ) denotes the injective envelope. In section 4 we study the annihilator relations between
the ring R and an i?-injective module. Our faithfully injective modules are characterized in fact …

… injective dimension of the ring is equal to the weak dimension of the canonical injective
module… : Is the tensor product of injective modules over a commutative ring again injective2'? …

… Here we encounter a first major difference between G–dimension and projective dimension.
… projective dimension agrees with the G–dimension. Gorenstein flat and injective modules …

… -injective module. It is known that if R is left Artinian, then it is left Noetherian and has only a
finite number of simple ϋί-modules… are indecomposable quasi-injective modules and that this …

… , projective-injective modules, that is modules which are both, projective and injective, play
… centraliser with respect to a projective-injective module whose endomorphism ring is a …

… M denotes a fixed jβ-module. We first recall the notions of M-projective and ilf-injective modules
… out that ϋMnjective modules are the same as the injective modules over R. However ϋJ-…