Triple
T21783611
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Artin–Wedderburn theorem |
E537779
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | theorem in ring theory |
C716
|
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: theorem in ring theory Context triple: [Artin–Wedderburn theorem, instanceOf, theorem in ring theory]
-
A.
Noetherian ring
A Noetherian ring is a ring in which every ascending chain of ideals stabilizes, equivalently, every ideal is finitely generated.
-
B.
mathematical theorem
chosen
A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.
-
C.
commutative algebra concept
A commutative algebra concept is an abstract mathematical notion involving commutative rings, their ideals, modules, and related structures, used to study algebraic properties that often underlie geometry and number theory.
-
D.
ring homomorphism
A ring homomorphism is a function between rings that preserves addition, multiplication, and the multiplicative identity (when present), mapping the structure of one ring compatibly into another.
-
E.
problem in invariant theory
A problem in invariant theory concerns determining and characterizing the algebraic functions (invariants) that remain unchanged under the action of a given group on a vector space or algebraic variety.
- 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_69e0c47198f881908cb0d237266c10e9 |
completed | April 16, 2026, 11:13 a.m. |
Created at: April 16, 2026, 6:52 p.m.