The homotopy category of complexes of projective modules Page 1 Advances in Mathematics
193 (2005) 223–232 www.elsevier.com/locate/aim The homotopy category of complexes of …

Here a topological R-left module. Y is called topologically coherent if it admits a basis of
neighborhoods of 0 consisting of submodules X'such that-X/S'is coherent in the category of …

It is proved that for a commutative noetherian ring with dualizing complex the homotopy
category of projective modules is equivalent, as a triangulated category, to the homotopy …

It is an old observation of Eckmann-Hilton [21], that the homotopy theory of topological
spaces has an algebraic analogue in the module category of a ring. Inspired by the work of …

Although it is not. true that the section functor r'a with support in the variety of the ideal a
takes a bounded complex of flat modules into a bounded complex of flat modules, a …

In his paper [191 Morita introduced the concept of functorial dualities between two full
subcategories A& and.+? of the categories of right R-modules and left S-modules containing …

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 …

For every ring R, we present a pair of model structures on the category of pro-spaces. In the
first, the weak equivalences are detected by cohomology with coefficients in R. In the …

In [11], Robinson proved that, given a ring Rand two. R-modules A and B, there is a
spectrum whose homotopy groups are the torsion groups Tor. R (Ab). More precisely, he …

Let R be a ring. We prove that the homotopy category K (R-Proj) is always \aleph_1-
compactly generated, and, depending on the ring R, it may or may not be compactly …