This thesis makes concrete some of the connections between the functor-categorical and
model-theoretic approaches to the study of modules over a ring. We show that the functor …

We give a new construction for the n-th Taylor polynomial, in the sense of Goodwillie
calculus, for homotopy functors from spectra to spectra. We then use this model to classify n …

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 …

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 …

We consider right modules over a ring, as models of a first order theory. We explorethe
definable sets and the definable bijections between them. We employ the notionsof Euler …

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 …

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 …

This is a continuation, completion, and generalization of our previous joint work with Boris
Chorny [Adv. Math. 214 (2007) 92–115]. We supply model structures and Quillen …

The Grothendieck construction is a classical correspondence between diagrams of
categories and coCartesian fibrations over the indexing category. In this paper we consider …

Under suitable assumptions, we extend the inclusion of an additive subcategory\raise0. 3em
\scriptscriptstyle- X ⊂\raise0. 3em \scriptscriptstyle- A (= stable category of an exact category …