It is possible to associate a topological space to the category of modules over any ring. This
space, the Ziegler spectrum, is based on the indecomposable pure-injective modules …

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 …

The model-theoretic investigation of modules has led to ideas, techniques and results which
are of algebraic interest, irrespective of their model-theoretic significance. It is these aspects …

A stable model category is a setting for homotopy theory where the suspension functor is
invertible. The prototypical examples are the category of spectra in the sense of stable …

The general theory of locally coherent Grothendieck categories is presented. To each locally
coherent Grothendieck category a topological space, the Ziegler spectrum of is associated. It …

Page 1 NUMBER I77 T PH TO X /\!tal r" < - c: * Lu - -: *- < > KR Goodedr! and Ann K. Boyle
Dimension theory for nonsingular injective modules N/UEN/UOIRS OF THE AN/UERICAN N/UATHEN/UATICAL …

Mod ª Ex C, Ab, M¬ Hom y, M my Ž. Ž. Ž. is an equivalence. Thus we can replace a-module
by an exact functor Ž. op C ª Ab. Of course, since the work of Auslander, it has been common …

Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …

Most of the model theory of modules works, with only minor modifications, in much more
general additive contexts (such as functor categories, categories of comodules, categories of …

Over the last few years, the study of complexes has become increasingly important. To date,
however, most of the research is scattered throughout the literature or available only as …