We study the small and big finitistic projective, injective and flat dimensions over a non-
positively graded commutative noetherian DG-ring $ A $ with bounded cohomology. Our …

Abstract We prove a Cohen-Macaulay version of a result by Avramov-Golod and Frankild-
Jørgensen about Gorenstein rings, showing that if a noetherian ring A is Cohen-Macaulay …

Recently, Yekutieli introduced projective dimension, injective dimension and flat dimension
of DG-modules by generalizing the characterization of projective dimension, injective …

We introduce a new class of commutative noetherian DG-rings which generalizes the class
of regular local rings. These are defined to be local DG-rings (A, m¯) such that the maximal …

Let A be a commutative noetherian local DG-ring with bounded cohomology. The
Intersection Theorem for DG-modules is examined and some of its applications are …

We study smooth maps that arise in derived algebraic geometry. Given a map A → BA→ B
between non-positive commutative noetherian DG-rings which is of flat dimension 0, we …

Let A be a commutative noetherian local DG-ring with bounded cohomology. For local
Cohen–Macaulay DG-modules with constant amplitude, we obtain an explicit formula for the …