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Infinite Versions of Hilbert's Nullstellensatz

2025/02/14 by A. Bernhard Zeidler, Zeidler, A. Bernhard
Computer Science · Mathematics · #13A15 #14A04 #Algebraic and Geometric Analysis #Commutative Algebra (math.AC) #FOS: Mathematics #Mathematics and Applications #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2502.10566

openalex publication_date 2025/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compile a long list of equivalent formulations of Hilbert's Nullstellensatz in infinite dimensions, and prove a persistence result for the strong Nullstellensatz in large polynomial rings.

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