Triple
T33578764
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Frobenius endomorphism |
E860096
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | ring endomorphism |
C37053
|
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 endomorphism Context triple: [Frobenius endomorphism, instanceOf, ring endomorphism]
-
A.
ring homomorphism
chosen
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-valued functor
A ring-valued functor is a functor from a category to the category of rings that assigns to each object a ring and to each morphism a ring homomorphism, preserving composition and identities.
-
C.
endomorphism of modular forms space
An endomorphism of a modular forms space is a linear self-map of a given space of modular forms (typically of fixed weight, level, and character) that sends each modular form in the space to another modular form in the same space.
-
D.
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.
-
E.
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.
- 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_69f3497d37848190afcbb5ef3f5c7376 |
completed | April 30, 2026, 12:22 p.m. |
Created at: May 1, 2026, 1:40 a.m.