We continue the study of enriched∞-categories, using a definition equivalent to that of
Gepner and Haugseng. In our approach enriched∞-categories are associative monoids in …

The Hom closed colocalizing subcategories of the stable module category of a finite group
are classified. Along the way, the colocalizing subcategories of the homotopy category of …

An important example of a model category is the category of unbounded chain complexes of
R-modules, which has as its homotopy category the derived category of the ring R. This …

Basic homological lemmas well known for modules over rings and, more generally, in the
context of abelian categories, have been extended to many other concrete and abstract …

We prove that the category of precrossed modules is an algebraic category, and we develop
a cotriple (co) homology theory for precrossed modules which generalizes the Eilenberg …

We provide a simple proof of the existence of internal Homs in the localization of the
category of dg categories with respect to all quasi-equivalences and of some of their main …

Recollements of derived module categories are investigated, using a new technique,
ladders of recollements, which are maximal mutation sequences. The position in the ladder …

In ordinary homological algebra, if M is an R-module, the usual way of starting to construct a
projective resolution of M is to let F be the free R-module generated by the elements of M …

Let R be a ring and Q be a quiver. We study the homotopy categories K (PrjQ) and K (InjQ)
consisting, respectively, of projective and injective representations of Q by R-modules. We …

Let GG be any Grothendieck category along with a choice of generator GG, or equivalently a
generating set {G_i\} G i. We introduce the derived category D (G) D (G), which kills all G G …