Triple
T6282310
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lie ring |
E140808
|
entity |
| Predicate | hasQuotientByIdeal |
P39249
|
FINISHED |
| Object | Lie ring quotient |
—
|
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: Lie ring quotient | Statement: [Lie ring, hasQuotientByIdeal, Lie ring quotient]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasQuotientByIdeal Context triple: [Lie ring, hasQuotientByIdeal, Lie ring quotient]
-
A.
isQuotientOf
chosen
Indicates that one quantity is the result of dividing another quantity by a specified divisor.
-
B.
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.
-
C.
isDividedBy
Indicates that one quantity or entity serves as the divisor that evenly or proportionally separates another quantity or entity into parts.
-
D.
isDedekindDomain
Indicates that a ring is a Dedekind domain, meaning it is a Noetherian, integrally closed integral domain of Krull dimension one in which every nonzero ideal factors uniquely into prime ideals.
-
E.
isRingOfIntegersOf
Indicates that one mathematical structure is the ring of integers associated with a given number field or algebraic extension.
- 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_69c008cd17c8819082b82d3fbeb68047 |
completed | March 22, 2026, 3:20 p.m. |
| NER | Named-entity recognition | batch_69c063f956c08190ae0f198ccbd68b42 |
completed | March 22, 2026, 9:49 p.m. |
| PD | Predicate disambiguation | batch_69c05608a5608190b22a1fdc4060470d |
completed | March 22, 2026, 8:50 p.m. |
Created at: March 22, 2026, 4:26 p.m.