… of global dimensions with which each ring R is endowed. The procedure we follow is to consider
various special. classes of rings whose dimension … their various global dimensions in a "…

… ring S, we denote by ds(M) the projective dimension of M as an 5-module, and by gl.d.(S) the
global dimension … ring with identity element 1, and let F be a subring of 5 containing 1. Let T …

… homological dimensions over a fully bounded noetherian (FBN) ring R … global dimension
of R equals the supremum of the projective dimensions of the simple R-modules;, (b) the global …

… of $ n $ and one plus the projective dimensions of the modules $ R/P $, where … global
dimension of the Weyl algebra over a commutative noetherian ring $ S $ of finite global dimension, …

… The aim of this paper is to find the global homological dimension of the ring of … ring R with
u commuting derivations. When R is a commutative noetherian ring with finite global dimension…

… , for example certain valuation rings (see Osof sky [4]), but these too are … local ring of finite
global dimension is a domain. In this note we show that this is the case if the ideals of the ring …

… rings, we immediately turn to the structural properties of rings having such dimension (specializing
to rings with finite dimension … dimensions eg Krull dimension and Gabriel dimension, …

… ring R with u commuting derivations. Since the case when R has finite global dimension
has … global dimension. Formulas are derived which show exactly when R[6i, .. 6U] has finite …

… series ring R [ [ t ] ] with respect to the global dimension as well as the weak global dimension.
… for the power series ring R [ [ t ] ] concerning the global dimension as well as the weak …

… We then describe valuation domains with Krull dimension by … ring R with Krull dimension
one has k(R) < k(R), and k(R), the classical Krull dimension of R, and the little Krull dimension of …