Triple
T6833358
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Gaussian rationals ℚ(i) |
E157390
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Euclidean domain (as a field) |
C6485
|
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: Euclidean domain (as a field) Context triple: [Gaussian rationals ℚ(i), instanceOf, Euclidean domain (as a field)]
-
A.
Euclidean domain
chosen
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.
-
B.
principal ideal domain
A principal ideal domain is an integral domain in which every ideal is generated by a single element.
-
C.
Noetherian ring
A Noetherian ring is a ring in which every ascending chain of ideals stabilizes, equivalently, every ideal is finitely generated.
-
D.
algebra over a field
An algebra over a field is a vector space equipped with a bilinear multiplication operation that combines vectors to produce another vector in a way compatible with scalar multiplication from the field.
-
E.
field theory
Field theory is a branch of physics and mathematics that models physical quantities as continuous fields distributed over space and time, governed by specific equations and symmetries.
- 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_69c6882c53608190b99aebef079b23bd |
completed | March 27, 2026, 1:37 p.m. |
Created at: March 27, 2026, 2:18 p.m.