Let R be a ring and M the left or right R-module category. Let C be a class of R-modules,
closed under extensions, finite direct sums, direct summands and isomorphisms. Suppose …

For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

1. Introduction. Given the R-module A, we define the strong injective dimension and its dual
the strong projective dimension of A.(Our notations are Sid (A) and Spd (A) respectively.) …

It is well known that a ring R is left hereditary (global dimension=< 1) if and only if every
image of an injective left R-module M is again injective. In this paper we show (Theorem 2) …

The flat dimensions of injective modules Page 1 manuscripta math. 78, 165- 177 (1993)
manuscripta mathematica Spfinger-Verlag 1~3 THE FLAT DIMENSIONS OF INJECTIVE …

Page 1 NUMBER I77 T PH TO X /\!tal r" < - c: * Lu - -: *- < > KR Goodedr! and Ann K. Boyle
Dimension theory for nonsingular injective modules N/UEN/UOIRS OF THE AN/UERICAN N/UATHEN/UATICAL …

Let E be an injectively resolving subcategory of le R-modules. A le R-module M (resp. right
R-module N) is called E-injective (resp. E-at) if ExtR (G, M)=(resp. TorR (N, G)=) for any G∈ …

Finite injective dimension over pullbacks of local rings Page 1 COMMUNICATIONS IN
ALGEBRA, 22(8), 3015-3022 (1994) FINITE INJECTIVE DIMENSION OVER PULLBACKS OF …

The category of left modules over right coherent rings of finite weak global dimension has
several nice features. For example, every left module over such a ring has a flat cover …

Consider a class C of projective R-modules, where R is a commutative ring with identity,
which satisfies the conditions of (2), namely that C is closed under the operations of direct …