Heuristical 1y the divisor d (E) of an A-module E is the ideal of A packing the most
information on E. A nrime candidate for this role, the annihilator of E, lacks de cent functorial …

The main results of this paper concern decompositions of an injective module, either as a
direct sum of submodules or as the injective envelope of a direct sum of injective …

1. Introduction. The concept of an h-local domain was introduced in [8,? 8] as a
simultaneous generalization of both a Dedekind domain and a local domain. It is a domain …

Let T be an infinitely generated tilting module of projective dimension at most one over an
arbitrary associative ring A, and let B be the endomorphism ring of T. We prove that if T is …

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 …

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 …

This paper provides the final step for the classification of all endo-trivial kP-modules, where
P is a finite p-group and k is a field of characteristic p. The classification was obtained in …

A Dedekind prim r&g [18] is an hereditary Koetherian prime ring'which is a maximal order in
its quotient ring, or equivalently [5] an hereditary Koetherian prime ring with no proper …

The purpose of this paper is to develop a theory of dualities for modules and to give some
applications to the theory of rings with minimum condition for one-sided ideals. Dualities with …

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 …