Uniform bounds in generalized Cohen-Macaulay rings
Commutative Algebra
2007-05-23 v1
Abstract
We establish a uniform bound for the Castelnuovo-Mumford regularity of associated graded rings of parameter ideals in a generalized Cohen-Macaulay ring. As consequences, we obtain uniform bounds for the relation type and the postulation number. Moreover, we show that generalized Cohen-Macaulay rings can be characterized by the existence of such uniform bounds.
Cite
@article{arxiv.math/0606639,
title = {Uniform bounds in generalized Cohen-Macaulay rings},
author = {Cao Huy Linh and Ngo Viet Trung},
journal= {arXiv preprint arXiv:math/0606639},
year = {2007}
}
Comments
12 pages