Archivio Istituzionale della RicercaIn this paper we introduce the concept of inessential element of a standard basis B(I), where I is any homogeneous ideal of a polynomial ring. An inessential element is, roughly speaking, a form of B(I) 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 B(I) linked to the presence of inessential elements and give some examples.
Essential and inessential elements of a standard basis / G., Beccari; Massaza, Carla. - (2009), pp. 1-15.
Essential and inessential elements of a standard basis
MASSAZA, Carla
2009
Abstract
In this paper we introduce the concept of inessential element of a standard basis B(I), where I is any homogeneous ideal of a polynomial ring. An inessential element is, roughly speaking, a form of B(I) 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 B(I) linked to the presence of inessential elements and give some examples.
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https://hdl.handle.net/11583/2298147
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