Triple
T6908928
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Zariski topology |
E159881
|
entity |
| Predicate | irreducibleClosedSetsCorrespondTo |
P74068
|
FINISHED |
| Object | prime ideals |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: prime ideals | Statement: [Zariski topology, irreducibleClosedSetsCorrespondTo, prime ideals]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: irreducibleClosedSetsCorrespondTo Context triple: [Zariski topology, irreducibleClosedSetsCorrespondTo, prime ideals]
-
A.
maximalIdealsCorrespondTo
Indicates that there is a correspondence or bijective relationship between maximal ideals in one structure and certain objects or properties in another structure.
-
B.
idealOfSetNotation
Indicates that one mathematical object is an ideal of another object, expressed using set-theoretic notation.
-
C.
isIntegrallyClosed
Indicates that a ring (or similar algebraic structure) contains all elements of its field of fractions that are integral over it, i.e., it has no proper integral extension within its field of fractions.
-
D.
cohomologyClassLiesIn
Indicates that a given cohomology class belongs to, or is an element of, a specified cohomology group or subspace.
-
E.
isHausdorff
Indicates that a topological space satisfies the Hausdorff separation property, meaning any two distinct points can be separated by disjoint open sets.
- F. None of above. chosen
Provenance (4 batches)
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_69c68839ccb88190b4aa5cc1aca3448f |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6d9be98748190b5cb698e66e3aa42 |
completed | March 27, 2026, 7:25 p.m. |
| PD | Predicate disambiguation | batch_69c6d7b93d688190a297244ce81b67ac |
completed | March 27, 2026, 7:17 p.m. |
| PDg | Predicate description generation | batch_69c6d8c48ba48190b8d3aa7b8d22816b |
completed | March 27, 2026, 7:21 p.m. |
Created at: March 27, 2026, 2:25 p.m.