A General Version of the Nullstellensatz for Arbitrary Fields
Algebraic Geometry
2017-08-16 v1
Abstract
We prove a general version of Bezout's form of the Nullstellensatz for arbitrary fields. The corresponding sufficient and necessary condition only involves the local existence of multi-valued roots for each of the polynomials belonging to the ideal in consideration. Finally, this version implies the standard Nullstellensatz when the coefficient field is algebraically closed.
Keywords
Cite
@article{arxiv.1708.04463,
title = {A General Version of the Nullstellensatz for Arbitrary Fields},
author = {Juan D. Velez and Danny A. J. Gomez-Ramirez and Edisson Gallego},
journal= {arXiv preprint arXiv:1708.04463},
year = {2017}
}