On Bezout Inequalities for non-homogeneous Polynomial Ideals
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. We compute probabilistically the degree of an equidimensional ideal.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2017
- DOI:
- 10.48550/arXiv.1701.04341
- arXiv:
- arXiv:1701.04341
- Bibcode:
- 2017arXiv170104341H
- Keywords:
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- Computer Science - Symbolic Computation;
- Computer Science - Computational Complexity;
- Mathematics - Commutative Algebra;
- Mathematics - Algebraic Geometry;
- 13F20;
- 14A10;
- 13P10