Triple
T13894118
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hadamard product (of power series) |
E334043
|
entity |
| Predicate | formsAlgebraicStructure |
P26397
|
FINISHED |
| Object | commutative algebra over the base field |
—
|
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: commutative algebra over the base field | Statement: [Hadamard product (of power series), formsAlgebraicStructure, commutative algebra over the base field]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: formsAlgebraicStructure Context triple: [Hadamard product (of power series), formsAlgebraicStructure, commutative algebra over the base field]
-
A.
isAlgebraicGroupOver
Indicates that one mathematical structure forms an algebraic group when considered over a specified base field or ring.
-
B.
hasAdditiveGroupIsomorphicTo
Indicates that the additive group structure of one algebraic object is isomorphic (structure-preserving bijection exists) to the additive group structure of another.
-
C.
algebra
chosen
Indicates a relationship involving algebraic operations, structures, or properties between mathematical entities.
-
D.
isAssociativeUpToIsomorphism
Indicates that a binary operation is associative in a structural sense, meaning any two ways of parenthesizing a finite product are related by a canonical isomorphism rather than strict equality.
-
E.
isNonassociative
Indicates that a binary operation on three or more elements yields different results when the elements are grouped in different ways, so the associative law does not hold.
- F. None of above.
Provenance (3 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_69d81c5dd2d48190b7a5fc1e009de936 |
completed | April 9, 2026, 9:38 p.m. |
| NER | Named-entity recognition | batch_69de23a741908190bdf46d76c5f1411a |
completed | April 14, 2026, 11:23 a.m. |
| PD | Predicate disambiguation | batch_69dd464b1ab48190ae50bfc902bf6ef7 |
completed | April 13, 2026, 7:38 p.m. |
Created at: April 9, 2026, 10:15 p.m.