A General Version of the Nullstellensatz for Arbitrary Fields

A General Version of the Nullstellensatz for Arbitrary Fields

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 implie...

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Hauptverfasser: Velez, Juan D, Gomez-Ramirez, Danny A. J, Gallego, Edisson
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Zusammenfassung: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.
DOI:10.48550/arxiv.1708.04463