Bass numbers and Golod rings.
Berechnung einiger Poincaré-Reihen
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.