Triple
T24806171
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hurwitz quaternions |
E620663
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Dedekind domain |
C17814
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: Dedekind domain Context triple: [Hurwitz quaternions, instanceOf, Dedekind domain]
-
A.
principal ideal domain
A principal ideal domain is an integral domain in which every ideal is generated by a single element.
-
B.
Euclidean domain
A Euclidean domain is an integral domain equipped with a Euclidean function that allows a division algorithm, meaning any two elements can be written as a quotient and remainder with strictly smaller measure, enabling the construction of greatest common divisors via repeated division.
-
C.
Noetherian ring
chosen
A Noetherian ring is a ring in which every ascending chain of ideals stabilizes, equivalently, every ideal is finitely generated.
-
D.
algebraic number field
An algebraic number field is a finite field extension of the rational numbers, obtained by adjoining to ℚ a root of a nonzero polynomial with rational (or integer) coefficients.
-
E.
algebraic number
An algebraic number is any complex number that is a root of a nonzero polynomial equation with integer (or equivalently, rational) coefficients.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69e2fabf26bc8190b191faac8f67065b |
completed | April 18, 2026, 3:30 a.m. |
Created at: April 18, 2026, 4:50 a.m.