On Bezout Inequalities for non-homogeneous Polynomial Ideals
Symbolic Computation
2017-01-17 v1 Computational Complexity
Commutative Algebra
Algebraic Geometry
Abstract
We introduce a "workable" notion of degree for non-homogeneous polynomial ideals and formulate and prove ideal theoretic B\'ezout 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.
Keywords
Cite
@article{arxiv.1701.04341,
title = {On Bezout Inequalities for non-homogeneous Polynomial Ideals},
author = {Amir Hashemi and Joos Heintz and Luis Miguel Pardo and Pablo Solernó},
journal= {arXiv preprint arXiv:1701.04341},
year = {2017}
}