The generalized henselianity conjecture for NIP integral domains
Let be a commutative integral domain whose theory has NIP.
Generalized henselianity conjecture. The ring is a henselian local ring.
The source presents this as a generalization of the henselianity conjecture and notes that it is equivalent to corresponding formulations for NIP integral domains and NIP rings. It remains open.
References
Primary source
Will Johnson, “Translating between NIP integral domains and topological fields”, arXiv:2504.10927 (2025).
Additional references
4 papers in this index state this conjecture (2019–2025). The statement above is taken from the most recent of them; the others are arXiv:2302.03315, arXiv:1911.04727, arXiv:1910.05932.
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