Triple

T36409058
Position Surface form Disambiguated ID Type / Status
Subject Lubin–Tate formal groups E896826 entity
Predicate instanceOf P0 FINISHED
Object formal group law C62868 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: formal group law
Context triple: [Lubin–Tate formal groups, instanceOf, formal group law]
  • A. one-dimensional formal group law chosen
    A one-dimensional formal group law is a power series F(X,Y) over a commutative ring, with no constant term and linear terms X+Y, that defines a group structure on the formal neighborhood of 0 by satisfying associativity, commutativity, identity, and inverse axioms in the category of formal schemes.
  • B. formal power series
    A formal power series is an infinite sum of terms \(a_n x^n\) treated purely algebraically, without concern for convergence, where coefficients \(a_n\) come from a given ring or field.
  • C. linear algebraic group
    A linear algebraic group is a group that is also an affine algebraic variety, whose group operations (multiplication and inversion) are given by regular polynomial maps when the group is realized as a closed subgroup of some general linear group GLₙ.
  • D. functor on groups
    A functor on groups is a structure-preserving mapping from the category of groups to another category (often groups or sets) that assigns to each group an object and to each group homomorphism a corresponding morphism, respecting composition and identities.
  • E. L-function
    An L-function is a complex analytic function, typically expressed as a Dirichlet series with an Euler product, that encodes deep arithmetic information about objects such as numbers, fields, or algebraic varieties.
  • 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_69f76e54ce408190849acc3f7758937c completed May 3, 2026, 3:48 p.m.
Created at: May 3, 2026, 4:10 p.m.