Triple
T21953369
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lie algebra |
E542122
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | nonassociative algebra |
C20468
|
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: nonassociative algebra Context triple: [Lie algebra, instanceOf, nonassociative algebra]
-
A.
nonassociative ring
chosen
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.
-
B.
non-abelian Lie algebra
A non-abelian Lie algebra is a Lie algebra whose Lie bracket is not identically zero on all pairs of elements, meaning there exist elements whose bracket does not commute.
-
C.
associative algebra with operator
An associative algebra with operator is an associative algebra equipped with a distinguished linear operator (such as a derivation, endomorphism, or Rota–Baxter operator) that interacts with the multiplication according to specified compatibility relations.
-
D.
nilpotent Lie algebra
A nilpotent Lie algebra is a Lie algebra whose lower central series terminates in the zero subalgebra after finitely many steps, meaning repeated Lie brackets eventually vanish.
-
E.
Weyl algebra
The Weyl algebra is the associative algebra generated by variables and their corresponding differential operators subject to canonical commutation relations, typically modeling the algebraic structure of quantum mechanical observables.
- 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_69e0c47ef0e48190a50e1bcc43f4b3fd |
completed | April 16, 2026, 11:14 a.m. |
Created at: April 16, 2026, 7:59 p.m.