… Next, we introduce homological invariants for Λ-modules which we call upper … homological
dimension in our sense is always smaller than or equal to reducing homological dimension in …

… Let A be a commutative noetherian ring, let a ⊆ A be an ideal, and let I be an … noetherian
DG-rings: let A be a commutative non-positive DG-ring such that H (A) is a noetherian ring and …

… This work concerns homological dimensions of modules over commutative noetherian rings…
As a first application, we obtain a change of rings property for homological persistence. A …

… of commutative Noetherian rings and their cohomological dimension. As a fundamental
concept in algebraic geometry and homological algebra, the cohomological dimension captures …

… In particular, since over a noetherian ring arbitrary direct sums of injectives are injectives, …
using an ordinary commutative noetherian ring. Given a derived commutative ring A, we do not …

… The rings in this paper are (unital, commutative) Noetherian, with no assumptions on
characteristic. All the modules are finitely-generated. Unless stated otherwise m ⊂ R denotes the …

… In the rest of this section, we give a uniform definition for the homological dimensions we …
of homological dimensions on complexes. For an arbitrary associative left Noetherian ring R …

… dimension of Schur algebras S R ( n , d ) (when n ≥ d ) and q-Schur algebras in the integral
setup, that is, when R is an arbitrary commutative Noetherian ring … results like homological …

… of commutative Noetherian local rings (R,m) in terms of homological dimensions of certain
… A finitely generated module M over a commutative Noetherian ring R is said to be totally …

… over arbitrary commutative Noetherian rings. We apply these … Noetherian rings and to Schur
algebras over quotients rings … also homological properties like finiteness of global dimension…