Essential and inessential elements of a standard basis
Commutative Algebra
2010-01-12 v1
Abstract
In this paper we introduce the concept of inessential element of a standard basis of I, where I is any homogeneous ideal of a polynomial ring. An inessential element is, roughly speaking, a form of the basis whose omission produces an ideal having the same saturation of I; it becomes useless in any dehomogenization of I with respect to a linear form. We study the properties of the basis linked to the presence of inessential elements and give some examples.
Cite
@article{arxiv.1001.1694,
title = {Essential and inessential elements of a standard basis},
author = {Giannina Beccari and Carla Massaza},
journal= {arXiv preprint arXiv:1001.1694},
year = {2010}
}
Comments
15 pages