MathDBThe generalized henselianity conjecture for NIP integral domains
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.
Sources & referencesView supporting material
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.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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