In this paper, we introduce the class of Cohen-Macaulay (= CM) dg (= differential graded)
modules over Gorenstein dg algebras and study their basic properties. We show that the …

When the base connected cochain DG algebra is cohomologically bounded, it is proved that
the difference between the amplitude of a compact DG module and that of the DG algebra is …

In this paper we study a connective commutative differential graded algebra (CDGA) which
is piecewise Noetherian. The principal aim is to analyze a dualizing complex of CDGA's and …

The paper explores dualizing differential graded (DG) modules over DG algebras. The focus
is on DG algebras that are commutative local, and finite. One of the main results established …

Let A be a connected cochain DG algebra, whose underlying graded algebra is an Artin-
Schelter regular algebra of global dimension 2 generated in degree 1. We give a description …

Abstract In (Cerulli Irelli et al., Adv. Math. 245 (1) 182–207 2013), Cerulli Irelli-Feigin-
Reineke construct a desingularization of quiver Grassmannians for Dynkin quivers …

Given a negatively graded Calabi-Yau algebra, we regard it as a DG algebra with vanishing
differentials and study its cluster category. We show that this DG algebra is sign-twisted …

We give a classification of all exact structures on a given idempotent complete additive
category. Using this, we investigate the structure of an exact category with finitely many …

We consider commutative DG rings (better known as nonpositive strongly commutative
associative unital DG algebras). For such a DG ring $ A $ we define the notions of perfect …

We investigate the perfect derived category \rmdgPer(A) of a positively graded differential
graded (dg) algebra A whose degree zero part is a dg subalgebra and semisimple as a ring …