… homological dimensions such as the weak global dimension, cotorsion dimension and weak
Gorenstein global dimension … copure flat if TorR i (E,M)=0 for all injective right R-module E …

… C-projective, C-weak flat) modules. Suppose that S C R is a … The purpose of this paper is
to study the relative homological … FP n -flat and FP n -injective dimension of a module, which …

… Hence, we introduce the weak uS-flat dimensions of modules … dimensions and other (classical)
homological dimensions are … is a wuS-flat, then HomR(M,E) is injective for any injective S-…

… We first give some computing formulas of projective, injective, flat and FP-injective dimensions
of special left T-modules. Then we establish some formulas of (weak) global dimensions …

… appeal to any part of our weaker nature, without the gorgeous … , Gorenstein injective, and
Gorenstein flat modules which were … injective modules and Gorenstein injective dimension. …

… injective and Gorenstein flat modules. The relative homological dimensions based on these
modules … as above satisfy a weak form of uniqueness, as in the classical Schanuel’s lemma. …

… between sets to be injective, and in fact monomorphisms do coincide with injective functions
in the … Let B be a 2-dimensional vector space over field k with basis {x, y}. It is then a k-…

… we prove that C∞(V ) is flat as a module over O(V). From this we … can be nontrivial in degrees
beyond the dimension of V . Our … From Lemma 1.4 we know that ˆµGv is injective. We would …

… on X has a flat generator; (2) for every injective object E of QCoh(… on X, this is a weaker
definition than the categorical one. … category of flat modules has infinite homological dimension. In …

… -modules with weak flat dimension at most n. Using left (right) WI resolutions and the left derived
functors of Hom we study the weak injective dimensions of modules … kth homology group …