In recent years the theory of structured ring spectra (formerly known as A-and E-ring spectra)
has been simplified by the discovery of categories of spectra with strictly associative and …

Working in the category of based spaces, we give the basic theory of diagram spaces and
diagram spectra. These are functors for a suitable small topological category. When is …

We develop a new system of model structures on the modules, algebras and commutative
algebras over symmetric spectra. In addition to the same properties as the standard 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 …

We construct Quillen equivalences between the model categories of monoids (rings),
modules and algebras over two Quillen equivalent model categories under certain …

A common technique for producing a new model category structure is to lift the fibrations and
weak equivalences of an existing model structure along a right adjoint. Formally dual but …

Consider a commutative simplicial ring B which is an algebra over the rational numbers. We
show that the homotopy theory of simplicial B-modules and the stable homotopy theory of …

In this paper we develop the theory of operads, algebras and modules in cofibrantly
generated symmetric monoidal model categories. We give J-semi model strucures, which …

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 …

In this article we construct various models for singularity categories of modules over
differential graded rings. The main technique is the connection between abelian model …