… 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 …

… (3)=X(4) reduces easily to showing that a direct system has an injective resolution. To see
that such resolutions exist we first take an injective module E containing, say, the direct sum of …

… fg C-modules of finite injective dimension) and all (7-homomorphisms between them. (… -module
N, the projective dimension of N will be denoted by proj dimc JV; the injective dimension …

… to the situation in which R is an n-dimensional regular local ring containing a field. In this …
dimension n − 3, but we do not know any example of an ideal a ⊆ R of projective dimension …

… 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, …

… over a finite dimensional tame hereditary algebra. Using a functorial analogue of … on the
projective dimension of a quotient field [13], we prove that the pure-projective dimension of the …

… 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 …

… Hereditary torsion theories are determined for which every τ–injective module is injective
and … global τ–projective dimension of R is equal to the right global projective dimension of R …

… the C-projective dimension of a module, where … -projective dimension agree, and investigate
the relationship between relative cohomology modules and absolute cohomology modules …

… projective modules and strongly copure projective modules. Then we define and investigate
copure projective dimensions of modules … injective modules and copure flat modules were …