Triple
T24822936
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Krull’s principal ideal theorem |
E621107
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in ring theory |
C49602
|
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: result in ring theory Context triple: [Krull’s principal ideal theorem, instanceOf, result in ring theory]
-
A.
result in group theory
A result in group theory is a proven statement or theorem about the algebraic structure and properties of groups and their related constructs.
-
B.
Noetherian ring
A Noetherian ring is a ring in which every ascending chain of ideals stabilizes, equivalently, every ideal is finitely generated.
-
C.
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.
-
D.
result in lattice theory
A result in lattice theory is a proven theorem or proposition that describes structural, order-theoretic, or algebraic properties of lattices and their related constructs.
-
E.
result in K-theory
A result in K-theory is a theorem or proposition describing how algebraic K-groups behave or relate to other invariants, often revealing deep structural or categorical properties of rings, schemes, or topological spaces.
- F. None of above. chosen
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_69e2fabfd4648190bd0e5c7f4dbb6cab |
completed | April 18, 2026, 3:30 a.m. |
Created at: April 18, 2026, 5:05 a.m.