Introduction. For a ring S, let FPD (S) denote the right finitistic projective dimension of S, that
isr the supremum of the finite projective dimensions of right S-modules. If S is a projective …

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 …

If R is a ring with unit and A is a unitary left R-module, then homological. algebra attaches
three dimensions to A-projec-tive, weak, and injective. By taking the supremum of one of the …

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.) …

We study the relations between finitistic dimensions and restricted injective dimensions. Let
R be a ring and T a left R-module with A= End RT. If RT is selforthogonal, then we show that …

All rings in this paper will have unit element and all (left or right) modules and all
homomorphisms will be unitary. Let A be a ring and let &/A be the category of rings “over” A …

Introduction. Throughout the paper, R is a ring with identity and right socle S, 3= R/S, and all
modules are right unital modules unless mentioned otherwise. Over the years several …

If R is left noetherian and M is a left R-module, then we can construct a complex called an
injective resolvent of M using injective precovers. Likewise, if R is left coherent and M is a …

The global dimension gldim (R) of a Noetherian ring R, while a useful invariant when finite,
is often infinite. Several homological dimensions have been introduced to handle rings of …

The finitistic global dimensions lf PD (R), l FPD (R), and l FID (R) are defined for a ring R. We
obtain the following results for R semiprimary with Jacobson radical N. C is a simple left R …