학술논문
A General Version of the Nullstellensatz for Arbitrary Fields
Document Type
research-article
Source
Open Mathematics. 17(1):556-558
Subject
Language
English
ISSN
2391-5455
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.