Continuous and discrete modules are, essentially, generalizations of infective and projective
modules respectively. Continuous modules provide an appropriate setting for decomposition …

This book is intended to provide a reasonably self-contained account of a major portion of
the general theory of rings and modules suitable as a text for introductory and more …

The main goal of this paper is to establish finiteness properties of local cohomology modules
in characteristic 0 that would be analogous to those proven by C. Huneke and R. Sharp in …

Many branches of algebra are linked by the theory of modules. Since the notion of a module
is obtained essentially by a modest generalisation of that of a vector space, it is not …

Many of the ideas introduced by FS Macaulay in this classic book have developed into
central concepts in what has become the branch of mathematics known as Commutative …

Translated from the popular French edition, this book offers a detailed introduction to various
basic concepts, methods, principles, and results of commutative algebra. It takes a …

The notion of purity is extremely important in abelian group theory. One reason for this is that
there are enough pure-injective (and also enough pure-projective) groups, which makes it …

These notes present an introduction into the spectrum of the category of modules over a
ring. We discuss the general theory of pure-injective modules and concentrate on the …

Most parts of algebra have undergone great changes and advances in recent years,
perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and …

Introduction. Throughout this discussion the ring R will be a commutative, Noetherian ring
with unit. The study of modules over such a ring has, heretofore, been largely confined to the …