Triple

T21783629
Position Surface form Disambiguated ID Type / Status
Subject Artin–Wedderburn theorem E537779 entity
Predicate usesConcept P531 FINISHED
Object Artinian ring — NE NERFINISHED

How this triple was built (2 steps)

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.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Artinian ring | Statement: [Artin–Wedderburn theorem, usesConcept, Artinian ring]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Artinian ring
Context triple: [Artin–Wedderburn theorem, usesConcept, Artinian ring]
  • A. Artinian ring chosen
    An Artinian ring is a ring in which every descending chain of ideals eventually stabilizes, making it a fundamental object in commutative algebra and ring theory with strong finiteness properties.
  • B. Artinian module
    An Artinian module is an algebraic structure over a ring that satisfies the descending chain condition on its submodules, meaning every decreasing sequence of submodules eventually stabilizes.
  • C. Noetherian rings
    Noetherian rings are a fundamental class of rings in commutative algebra characterized by the property that every ascending chain of ideals stabilizes, ensuring that all ideals are finitely generated.
  • D. Artin–Wedderburn theorem
    The Artin–Wedderburn theorem is a fundamental result in ring theory that classifies all semisimple rings as finite direct products of matrix rings over division rings.
  • E. Cohen–Macaulay ring
    A Cohen–Macaulay ring is a commutative Noetherian ring whose depth equals its Krull dimension, giving it especially well-behaved homological and geometric properties.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 batches)

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_69e0c47198f881908cb0d237266c10e9 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69f046303d54819096b3fab4ab5678e6 completed April 28, 2026, 5:31 a.m.
Created at: April 16, 2026, 6:52 p.m.