Triple
T11919095
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fitting ideal |
E283606
|
entity |
| Predicate | inRepresentationTheory |
P102354
|
FINISHED |
| Object | used for modules over group rings |
—
|
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: used for modules over group rings | Statement: [Fitting ideal, inRepresentationTheory, used for modules over group rings]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: inRepresentationTheory Context triple: [Fitting ideal, inRepresentationTheory, used for modules over group rings]
-
A.
hasRepresentationTheoryDevelopedBy
Indicates that the representation theory of one mathematical object or structure was developed or formulated by a particular person or group.
-
B.
minimalFaithfulComplexRepresentationDimension
Indicates the smallest possible dimension of a complex vector space in which a faithful (injective) representation of the given structure can be realized.
-
C.
hasIrreducibleRepresentationOfDimension
Indicates that an entity possesses an irreducible representation whose vector space has the specified dimension.
-
D.
minimalFaithfulLinearRepresentationDegree
Indicates the smallest dimension of a faithful linear representation needed to represent the given structure as linear transformations on a vector space.
-
E.
isProjectiveRepresentationOf
Indicates that one mathematical object represents another up to multiplication by scalar factors, preserving structure only up to a projective (rather than strictly linear) equivalence.
- 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_69d6ab2c07e88190ba13b0d21fd6cf33 |
completed | April 8, 2026, 7:23 p.m. |
| NER | Named-entity recognition | batch_69d8e8dff77481908cacf6ad03df34ac |
completed | April 10, 2026, 12:11 p.m. |
| PD | Predicate disambiguation | batch_69d8bb3632ac8190b13e53c2b5db7125 |
completed | April 10, 2026, 8:56 a.m. |
| PDg | Predicate description generation | batch_69d8dd0ba0f88190b7d5e358c27ca184 |
completed | April 10, 2026, 11:20 a.m. |
Created at: April 8, 2026, 9:44 p.m.