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arXiv · 1001.1694

Essential and inessential elements of a standard basis

Giannina Beccari·Carla Massaza
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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.

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Giannina Beccari, Carla Massaza. 2010-01-11. Essential and inessential elements of a standard basis. https://arxiv.org/abs/1001.1694

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