… 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 …

… 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 …

… homological dimension which is based on the class PGF(R) and define the PGF-dimension
PGF… of commutative Noetherian rings of finite self-injective dimension to any commutative ℵ0-…

… assume that R is local or Noetherian; the main results in this … the finiteness of suitable
homological dimensions of the R-… is a Cohen-Macaulay local Noetherian ring; one of the main …

… 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 …

… Noetherian ring R is n-Gorenstein if and only if the Gorenstein projective (resp. injective, flat)
dimension of … that the finitistic 𝒞 -projective and 𝒯 -projective dimensions of 𝒜 are identical. …

… 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…

… the homological dimensions of RσG and the homological dimensions of a commutative ring
R, … αG, where A is a left Noetherian ring and G is a finite group. As a corollary, it was proven …

… the ideals of finite co-dimension of a K-algebra of arbitrary dimension, as well as completions
with … To state the main characterization result, we will also need to recall some homological …