Triple
T6833732
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Noetherian ring |
E157398
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | ring-theoretic property |
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: ring-theoretic property Context triple: [Noetherian ring, instanceOf, ring-theoretic property]
-
A.
Noetherian ring
chosen
A Noetherian ring is a ring in which every ascending chain of ideals stabilizes, equivalently, every ideal is finitely generated.
-
B.
nonassociative ring
A nonassociative ring is an algebraic structure with two binary operations (addition and multiplication) where addition forms an abelian group, multiplication is distributive over addition, but multiplication is not required to be associative.
-
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.
mathematical property
A mathematical property is a characteristic or attribute of a mathematical object or structure that remains consistent under specified conditions or operations.
- 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.