Triple
T19327916
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Theorie der algebraischen Zahlen |
E483406
|
entity |
| Predicate | associatedWith |
P37
|
FINISHED |
| Object | Hensel lifting |
—
|
NE NERFINISHED |
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hensel lifting Context triple: [Theorie der algebraischen Zahlen, associatedWith, Hensel lifting]
-
A.
Hensel’s lemma
chosen
Hensel’s lemma is a fundamental result in number theory and p-adic analysis that allows one to lift solutions of polynomial congruences modulo a prime power to higher powers, analogous to Newton’s method in the p-adic setting.
-
B.
Henselization
Henselization is a construction in commutative algebra that minimally modifies a local ring to satisfy Hensel’s lemma, making it “Henselian” while preserving much of its original structure.
-
C.
Hensel
Hensel is a German surname most notably associated with mathematician Kurt Hensel, known for introducing p-adic numbers.
-
D.
Gross–Koblitz formula
The Gross–Koblitz formula is a result in number theory that expresses Gauss sums in terms of the p-adic gamma function, linking exponential sums over finite fields with p-adic analysis.
-
E.
Hasse–Arf theorem
The Hasse–Arf theorem is a fundamental result in algebraic number theory that precisely characterizes the jumps in the ramification filtration of abelian extensions of local fields, showing they occur at integer values.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69d8e8d13e3c81909d91d1d5ec37c095 |
elicitation | completed |
| NER | batch_69e6163f32f48190be17cccf4e537372 |
ner | completed |
Created at: April 10, 2026, 1:33 p.m.