Triple
T1859354
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hilbert basis theorem |
E41778
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | theorem in commutative algebra |
C716
|
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: theorem in commutative algebra Context triple: [Hilbert basis theorem, instanceOf, theorem in commutative algebra]
-
A.
mathematical theorem
chosen
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
-
B.
problem in invariant theory
A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
-
C.
principal ideal domain
A principal ideal domain is an integral domain in which every ideal is generated by a single element.
-
D.
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.
-
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_69a8864a83848190a4ec02721306c511 |
completed | March 4, 2026, 7:21 p.m. |
Created at: March 4, 2026, 7:33 p.m.