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 …

Because traditional ring theory places restrictive hypotheses on all submodules of a module,
its results apply only to small classes of already well understood examples. Often, modules …

We define for each small category C a category algebra RC over a base ring R and study its
representations. When C is an EI-category, we develop a theory of vertices and sources for …

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 …

This is a survey paper, based on lectures given at the Workshop on" Structured ring spectra
and their applications" which took place January 21-25, 2002, at the University of Glasgow …

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 …

Full article: ON THE LATTICES OF NATURAL AND CONATURAL CLASSES IN R-MOD Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

We introduce a new invariant for subcategories X of finitely generated modules over a local
ring R which we call the radius of X. We show that if R is a complete intersection and X is …

Colocalizing subcategories of DRfi Page 1 J. reine angew. Math. 653 (2011), 221—243 DOI
10.1515/CRELLE.2011.028 Journal fr die reine und angewandte Mathematik ( Walter de …