… We study the prime ideals associated to the A[T]-module HomA{A\T],E) in order to find the
decomposition of this injective module into indecomposable injective modules. This question …

… All the dual results hold for the n-strongly Gorenstein injective modules, and we omit this …
is of finite projective dimension, and cx(M) ≤1 if and only if the dimensions of P n are bounded. …

… injective and weakly projective modules as a generalization of injective and projective
modules. For a locally qfd module M, there exists a module K ∈ σ[M] such that K ⊕ N is weakly …

… of all f-projective (f-injective) right R-modules. Semihereditary … of f-projective modules and
f-injective modules. Keywords f-… and pd(MR) denotes the projective dimension of MR. Hom(M,…

… to Ding projective and Ding injective modules and dimensions … A-module, M2/im(ϕM ) is a
Ding projective left B-module and … projective dimension, UA has finite flat dimension and BU is …

… As consequences, we show that a module M has Gorenstein projective dimension at most …
Finally, it is convenient to note that one could define and study (n, m)-SGinjective modules as …

… Hence, by [-15, Proposition 67, any flat right R--module has finite projective dimension,
and by dimension shifting a module of finite flat dimension has finite projective dimension. For …

… of Gorenstein projective R-modules, the class of R-modules of finite projective dimension) is
a … On the other hand, since the class of (FP-)injective modules over a QF ring coincides with …

… coincides with the class of epimorphic images of injective modules (see [30]). From this fact
it easily follows that ⊥D = P1 (see also [29]). The paper is structured as follows, in Section 2 …

… let M be a left S-module and n ≥ 0. We prove that the G C -projective dimension of M is at
most n if … are just the usual Gorenstein projective modules and Gorenstein injective modules, …