On Bezout Inequalities for non-homogeneous Polynomial Ideals

01/16/2017

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by   Amir Hashemi, et al.

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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. We compute probabilistically the degree of an equidimensional ideal.