Finitistic dimensions of semiprimary rings Page 1 manuscripta math, 81, 79 - 87 (1993)
manuscripta mathematica Spfi~er-~rlag 1~3 FINITISTIC DIMENSIONS OF SEMIPKIMARY …

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 …

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 …

Homological dimensions of some pirings Page 1 COMMJNICATIONS IN ALGEBRA, 8(7),
685-696 (1980) HONOLOGICAL DINENSIONS OF SOME PI RINGS. S. Jondrup. Department …

In recent works by Eilenberg Nagao and Nakayama [# I, Jans and Nakayama [8], Harada [7],
and Zaks [II] the problem of characterizing semi-primary rings all of whose residue rings …

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 small finitistic dimension of a ring is determined as the supremum projective dimensions
among modules with finite projective resolutions. This paper seeks to establish that, for a …

Abstract Techniques of Eilenberg, Nakayama, and Nagao are used to obtain results on the
global dimension of the ring R∕ I where I is an eventually idempotent ideal. We also …

Bounds are determined for the finitistic dimensions of one-sided almost serial rings in terms
of the projective dimensions of the simple modules of finite projective dimension and in …

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 …