Triple
T33066359
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Witt vectors |
E846110
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | ring-valued functor |
C59047
|
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: ring-valued functor Context triple: [Witt vectors, instanceOf, ring-valued functor]
-
A.
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.
-
B.
ring-theoretic structure
A ring-theoretic structure is an algebraic system consisting of a set equipped with two binary operations, typically addition and multiplication, that satisfy the ring axioms such as associativity, distributivity, and the existence of an additive identity and inverses.
-
C.
noncommutative ring
A noncommutative ring is an algebraic structure consisting of a set equipped with two binary operations, addition and multiplication, where addition forms an abelian group, multiplication is associative and distributes over addition, but multiplication need not be commutative.
-
D.
result in ring theory
A result in ring theory is a proven mathematical statement that describes properties, structures, or relationships involving rings and their associated algebraic objects.
-
E.
homological invariant
A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
- 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_69f3495405b88190967af2157b43b896 |
completed | April 30, 2026, 12:21 p.m. |
Created at: May 1, 2026, 1:25 a.m.