We define a dimension, called an FP-projective dimension, for modules and rings. It
measures how far away a finitely generated module is from being finitely presented, and …

This note presents the definitions of homological dimensions of bounded complexes of
modules as proposed by the author in [3]. Somewhat different definitions have been …

We prove that (a) if R is a commutative coherent ring, the weak global dimension of R equals
the supremum of the flat (or (FP–) injective) dimensions of the simple R-modules;(b) if R is …

Relationships between homological dimensions of Noetherian rings and duality conditions
on finitely generated modules have been studied in [1],[4], In this paper we consider …

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 …

Introduction. This paper is devoted primarily to the study of commuta-tive noetherian local
rings. The main task is to compare purely algebraic properties with properties of a …

A new homological dimension, called G*-dimension, is defined for every finitely generated
module M over a local noetherian ring R. It is modeled on the CI-dimension of Avramov …

An extension is given of the theorem relating projective dimension to depth for a finitely
generated module of finite projective dimension over a commutative Noetherian local ring …

INTRODUCTION. The main results of this paper show that homological dimensions over a
fully bounded noetherian (FBN) ring R may be computed using just simple R-modules, as …

We define three new homological dimensions: Cohen-Macaulay injective, projective, and
flat dimension, and show that they inhabit a theory similar to that of classical injective …