Finitistic dimensions of ring extensions

B Gbrtzen - Communications in Algebra, 1982 - Taylor & Francis
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

N Ding, J Chen - manuscripta mathematica, 1993 - Springer
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 …

[图书][B] Global Dimensions of Rings

H Bass - 1959 - search.proquest.com
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 …

[引用][C] On the strong injective (projective) dimension of modules

Z Papp - Archiv der Mathematik, 1974 - Springer
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.) …

Finitistic dimension and restricted injective dimension

D Wu - Czechoslovak Mathematical Journal, 2015 - Springer
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 …

[引用][C] Explicit formulae for the global homological dimensions of trivial extensions of rings

I Palmér, JE Roos - Journal of Algebra, 1973 - Elsevier
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 …

Projective dimension of singular modules over nonsingular rings with essential socle

Y Qin - Communications in Algebra, 1998 - Taylor & Francis
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 …

[引用][C] Resolvents and dimensions of modules and rings

EE Enochs, OMG Jenda - Archiv der Mathematik, 1991 - Springer
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 …

[引用][C] Finitistic dimensions of Noetherian rings

E Kirkman, J Kuzmanovich, L Small - Journal of Algebra, 1992 - Elsevier
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 …

Finitistic global dimension for rings

H Mochizuki - Pacific Journal of Mathematics, 1965 - msp.org
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 …