Triple
T21953444
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | universal enveloping algebra |
E542123
|
entity |
| Predicate | constructedByQuotienting |
P97909
|
FINISHED |
| Object | tensor algebra by the ideal generated by x⊗y − y⊗x − [x,y] |
—
|
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: tensor algebra by the ideal generated by x⊗y − y⊗x − [x,y] | Statement: [universal enveloping algebra, constructedByQuotienting, tensor algebra by the ideal generated by x⊗y − y⊗x − [x,y]]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: constructedByQuotienting Context triple: [universal enveloping algebra, constructedByQuotienting, tensor algebra by the ideal generated by x⊗y − y⊗x − [x,y]]
-
A.
quotientedBy
chosen
Indicates that one structure or set is formed from another by identifying elements according to an equivalence relation or partition, yielding a quotient.
-
B.
isQuotientOf
Indicates that one quantity is the result of dividing another quantity by a specified divisor.
-
C.
hasOrientationPreservingQuotient
Indicates that the associated quotient map preserves the original orientation structure of the space or object.
-
D.
quotientByLinearEquivalenceGives
Indicates that forming a quotient under a specified linear equivalence relation produces or yields a particular resulting object or structure.
-
E.
isSubquotientOf
Indicates that one object can be obtained from another by first taking a subobject and then forming a quotient of that subobject.
- 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_69e0c47ef0e48190a50e1bcc43f4b3fd |
completed | April 16, 2026, 11:14 a.m. |
| NER | Named-entity recognition | batch_69f1243dfb4081909bc7a722843ffea7 |
completed | April 28, 2026, 9:18 p.m. |
| PD | Predicate disambiguation | batch_69e6f601f2188190893bcdde0cf58ad6 |
completed | April 21, 2026, 3:58 a.m. |
Created at: April 16, 2026, 7:59 p.m.