AbstractIt is known that the powers mn of the maximal ideal of a local Noetherian ring share certain homological properties for all sufficiently large integers n. For example, the natural homomorphisms R→R/mn are Golod, respectively, small, for all large n. We give effective bounds on the smallest integers n for which such properties begin to hold
AbstractWe give an explicit description of a certain high order local cohomology module with support...
Abstract. Motivated in part by an attempt to understand better the notion of parameter-like sequence...
AbstractLet (A, m, k) denote a one dimensional, Cohen-Macaulay, local ring with maximal ideal m and ...
AbstractIt is known that the powers mn of the maximal ideal of a local Noetherian ring share certain...
Abstract. Let R be a Noetherian local ring with the maximal ideal m. Assume that R contains ideals I...
It is known that the powers [special characters omitted] of the maximal ideal [special characters om...
AbstractThis paper deals with local rings R possessing an m-canonical ideal ω, R⊆ω. In particular th...
If a commutative noetherian local ring R happens to fall into one of several subclasses of such ring...
AbstractLet R be a connected, graded, Noetherian PI ring. If injdim(R) = n < ∞, then we prove that R...
AbstractLet R be a connected, graded, Noetherian PI ring. If injdim(R) = n < ∞, then we prove that R...
We study relations between properties of different types of resolutions of modules over a commutativ...
We study relations between properties of different types of resolutions of modules over a commutativ...
Abstract. Let I be an ideal in a Noetherian commutative ring R with unit, let k ≥ 2 be an integer, a...
We study relations between properties of different types of resolutions of modules over a commutativ...
AbstractWe give general bounds for the reduction numbers of ideals in arbitrary Noetherian rings and...
AbstractWe give an explicit description of a certain high order local cohomology module with support...
Abstract. Motivated in part by an attempt to understand better the notion of parameter-like sequence...
AbstractLet (A, m, k) denote a one dimensional, Cohen-Macaulay, local ring with maximal ideal m and ...
AbstractIt is known that the powers mn of the maximal ideal of a local Noetherian ring share certain...
Abstract. Let R be a Noetherian local ring with the maximal ideal m. Assume that R contains ideals I...
It is known that the powers [special characters omitted] of the maximal ideal [special characters om...
AbstractThis paper deals with local rings R possessing an m-canonical ideal ω, R⊆ω. In particular th...
If a commutative noetherian local ring R happens to fall into one of several subclasses of such ring...
AbstractLet R be a connected, graded, Noetherian PI ring. If injdim(R) = n < ∞, then we prove that R...
AbstractLet R be a connected, graded, Noetherian PI ring. If injdim(R) = n < ∞, then we prove that R...
We study relations between properties of different types of resolutions of modules over a commutativ...
We study relations between properties of different types of resolutions of modules over a commutativ...
Abstract. Let I be an ideal in a Noetherian commutative ring R with unit, let k ≥ 2 be an integer, a...
We study relations between properties of different types of resolutions of modules over a commutativ...
AbstractWe give general bounds for the reduction numbers of ideals in arbitrary Noetherian rings and...
AbstractWe give an explicit description of a certain high order local cohomology module with support...
Abstract. Motivated in part by an attempt to understand better the notion of parameter-like sequence...
AbstractLet (A, m, k) denote a one dimensional, Cohen-Macaulay, local ring with maximal ideal m and ...