… finitistic projective dimension of R… dimensions of R in terms of P1-injective modules. In
particular, we prove the following formula for the weak global dimension and the global dimension …

… (G C -projective and G C -injective dimensions) of the module… C -projective dimension of a
ring and the global dimension of … -Gorenstein projective and injective modules and dimensions…

… left module M if M is a faithful injective module and if M appears as a direct summand of
every faithful module. It is clear that M must be protective, for the ring itself is a faithful protective …

… It is the purpose of this paper to show that some fundamental results on modules of finite
projective dimension over a noetherian local ring R are in fact special cases of relations which …

… 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, …

… injective modules in σ[M 1 ] (σ[M 2 ]) and injective modules in σ[… injective modules in σ[M 1
] (σ[M 2 ]) and injective modules in σ[… σ-projective dimension and projective dimension in R M. …

… transfer of Gorenstein projective and injective modules along … injective R-module has finite
R-projective dimension if and only if every injective A-module has finite A-projective dimension…

… T will denote a non-zero finitely generated A-module of finite injective dimension: the purpose
of this section is to construct a finitely generated A-module of finite projective dimension …

… a projective module is a generalization of a free module, and its dual is an injective module,
… Free, projective and injective Banach modules are studied following a line which has some …

… the divisible modules of projective dimension at most one and answer a question related to
the Fuchs' divisible module 8 (… Our criterion is in terms of properties of pure-injective modules: …