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Infinite Versions of Hilbert's Nullstellensatz

Commutative Algebra 2026-04-22 v1

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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Cite

@article{arxiv.2502.10566,
  title  = {Infinite Versions of Hilbert's Nullstellensatz},
  author = {A. Bernhard Zeidler},
  journal= {arXiv preprint arXiv:2502.10566},
  year   = {2026}
}

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7 pages