Infinite Versions of Hilbert's Nullstellensatz
A. Bernhard Zeidler
TL;DR
This paper explores various equivalent forms of Hilbert's Nullstellensatz in infinite-dimensional settings and establishes a persistence property for the strong Nullstellensatz in large polynomial rings.
Contribution
It compiles a comprehensive list of equivalent formulations of Nullstellensatz in infinite dimensions and proves a new persistence result for large polynomial rings.
Findings
List of equivalent formulations of Nullstellensatz in infinite dimensions
Persistence result for the strong Nullstellensatz in large polynomial rings
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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