6 papers · 1 filter
Intersection theorems over DG-rings revisited
Luigi Ferraro, Zachary Nason
In this work we generalize two recently proved intersection theorems for DG-rings. The Derived Improved New Intersection Theorem concerns the length of semi-free DG-modules over DG…
Quasi-Gorenstein morphisms of commutative local dg-algebras
Zachary Nason, Andrew J. Soto Levins, Ryan Watson
We introduce quasi-Gorenstein morphisms of commutative local dg-algebras and use a Gorenstein version of the virtually small property to characterize them, a result which is new ev…
Finiteness of homological dimensions of RHom complexes
Paulo Martins, Victor D. Mendoza Rubio, Zachary Nason
This paper studies derived Hom complexes with finite projective, Gorenstein projective, or complete intersection dimension over a Noetherian local ring . We establish several st…
Level Inequalities for Complexes
Zachary Nason
We prove that for all noetherian rings, the level of any homologically bounded complex with respect to the collection of projective or injective modules is bounded above by the…
G-levels of perfect complexes
Lars Winther Christensen, Antonia Kekkou, Justin Lyle +2
We prove that a commutative noetherian ring is Gorenstein of dimension at most if is an upper bound on the G-levels of perfect -complexes. For local, we prove…
Maximal Cohen-Macaulay DG-complexes
Zachary Nason
Let be a commutative noetherian local differential graded (DG) ring. In this paper we propose a definition of a maximal Cohen-Macaulay DG-complex over that naturally genera…