Babylonian Tower Theorems on the Punctured Spectrum.
Basic properties of h-regular local Noetherian rings
Bass numbers and Golod rings.
Berechnung einiger Poincaré-Reihen
Betti numbers and the integral closure of ideals.
Bettireihen von Faserprodukten lokaler Ringe.
Bounds for the multiplicity of almost complete intersections.
Bounds on Bass numbers and their dual
Let be a commutative Noetherian local ring. We establish some bounds for the sequence of Bass numbers and their dual for a finitely generated -module.
Bounds on Castelnuovo-Mumford regularity for divisors on rational normal scrolls.
The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal free resolution of the defining ideals of the projective varieties. There are some bounds on the Castelnuovo-Mumford regularity of the projective variety in terms of the other basic invariants such as dimension, codimension and degree. This paper studies a bound on the regularity conjectured by Hoa, and shows this bound and extremal examples in the case of divisors on rational normal scrolls.
Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings.