In this work, we shall study in a purely model-independent fashion the∞-category of mixed
graded modules over a ring of characteristic 0, as defined by D. Calaque, T. Pantev, M …

For a commutative ring $ A $, we have the category of (bounded-below) chain complexes of
$ A $-modules $ Ch_ {+}(A\mymod) $, a closed symmetric monoidal category with a …

We construct an" almost involution" assigning a new DG-category to a given one, and use
this construction in order to recover, say, the abelian category of graded modules over the …

This thesis explores the relation between module categories over small differential graded
(abbreviated DG) categories on the one hand, and well generated triangulated categories …

We use the theory of Tambara modules to extend and generalize the reconstruction theorem
for module categories over a rigid monoidal category to the nonrigid case. We show a …

T-structures on triangulated categories were introduced in the early eighties by Beillison,
Berstein and Deligne in their study of the perverse sheaves on an algebraic or an analytic …

In this paper, we prove a version of Freyd's generating hypothesis for triangulated
categories: if D is a cocomplete triangulated category and S∈ D is an object whose …

We define $ A_ {\infty} $-structures--algebras, coalgebras, modules, and comodules--in an
arbitrary monoidal DG category or bicategory by rewriting their definitions in terms of …

Given a ring object A in a symmetric monoidal category, we investigate what it means for the
extension⊮→ A to be (quasi-) Galois. In particular, we define splitting ring extensions and …

We put a Quillen model structure on the category of small categories enriched in simplicial $
k $-modules and non-negatively graded chain complexes of $ k $-modules, where $ k $ is a …