On Bézout inequalities for non-homogeneous polynomial ideals. (September 2021)

• Record Type: Journal Article
• Authors: Hashemi, Amir; Heintz, Joos; Pardo, Luis M.; Solernó, Pablo
• Is Part Of: Journal of symbolic computation. Volume 106(2021)
• Page Start: 1
• Page End: 22
• Publication Date: 2021-09
• Subjects: 13F20 -- 14A10 -- 13P10; Polynomial ring -- Degree of an ideal -- Idealistic Bézout inequality -- Gröbner basis; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2020.11.003
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: 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.