On Bézout inequalities for non-homogeneous polynomial ideals

We introduce a “workable” notion of degree for non-homogeneous polynomial ideals and formulate and prove ideal theoretic Bézout inequalities for the sum of two ideals in terms of this notion of degree and the degree of generators.

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Bibliographic Details
Published in:Journal of symbolic computation 2021-09, Vol.106, p.1-22
Main Authors: Hashemi, Amir, Heintz, Joos, Pardo, Luis M., Solernó, Pablo
Format: Article
Language:English
Subjects:
Degree of an ideal
Gröbner basis
Idealistic Bézout inequality
Polynomial ring
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Description
Summary:We introduce a “workable” notion of degree for non-homogeneous polynomial ideals and formulate and prove ideal theoretic Bézout inequalities for the sum of two ideals in terms of this notion of degree and the degree of generators.
ISSN:0747-7171
1095-855X
DOI:10.1016/j.jsc.2020.11.003