For any CDG-ring $ B^\bullet=(B^*, d, h) $, we show that the homotopy category of graded-
projective (left) CDG-modules over $ B^\bullet $ is equivalent to the quotient category of the …

The concept of an abelian DG-category, introduced by the first-named author in arXiv:
2110.08237, unites the notions of abelian categories and (curved) DG-modules in 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 …

For an exact dg category $\mathcal A $, we introduce its bounded dg derived category
$\mathcal {D}^ b_ {dg}(\mathcal A) $ and establish the universal exact morphism from …

We establish the feasibility of investigating the theory of $ R\text {-}\mathrm {Mod} $-enriched
categories, for any commutative and unitary ring $ R $, through the framework of $\mathbb …

Reflexive DG-categories were defined by Kuznetsov and Shinder as generalisations of
smooth and proper DG-categories. Over a perfect field, they include all projective schemes …

Recently in [10], it was proved that over any ring R, there exists a complete cotorsion pair
(Kp (Flat-R); K (dg-CotF-R)) in K (Flat-R), the homotopy category of complexes of flat R …

We develop the theory dg algebras with enough idempotents and their dg modules and
show their equivalence with that of small dg categories and their dg modules. We introduce …

The notion of Hochschild cochains induces an assignment from $\mathsf {Aff} $, affine DG
schemes, to monoidal DG categories. We show that this assignment extends, under …