Triple
T7420237
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Noether field |
E171227
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | field extension |
C21313
|
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: field extension Context triple: [Noether field, instanceOf, field extension]
-
A.
field theory
Field theory is a branch of physics and mathematics that models physical quantities as continuous fields distributed over space and time, governed by specific equations and symmetries.
-
B.
algebraic number field
chosen
An algebraic number field is a finite field extension of the rational numbers, obtained by adjoining to ℚ a root of a nonzero polynomial with rational (or integer) coefficients.
-
C.
algebra over a field
An algebra over a field is a vector space equipped with a bilinear multiplication operation that combines vectors to produce another vector in a way compatible with scalar multiplication from the field.
-
D.
field
A field is a mathematical structure consisting of a set equipped with two operations, addition and multiplication, that satisfy the usual arithmetic properties including commutativity, associativity, distributivity, and the existence of additive and multiplicative inverses for nonzero elements.
-
E.
subfield of abstract algebra
A subfield of abstract algebra is a branch within the broader discipline that focuses on specific algebraic structures and their properties, such as group theory, ring theory, or field theory.
- 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_69c68a625d048190af70eb8b63bec5a0 |
completed | March 27, 2026, 1:47 p.m. |
Created at: March 27, 2026, 3:11 p.m.