Triple

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).

Phrase: Artin–Wedderburn theorem | Statement: [ring theory, usesConcept, Artin–Wedderburn theorem]

Target entity: Artin–Wedderburn theorem
Context triple: [ring theory, usesConcept, Artin–Wedderburn theorem]

• A. Artin–Wedderburn theorem chosen
  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.
• B. Jordan–Hölder theorem
  The Jordan–Hölder theorem is a fundamental result in group theory stating that any two composition series of a finite group have the same length and the same (up to order and isomorphism) simple factor groups.
• C. Noether's isomorphism theorems
  Noether's isomorphism theorems are fundamental results in abstract algebra that relate quotient structures and substructures of groups, rings, and modules, providing a unifying framework for understanding homomorphic images and factor structures.
• D. Artinian ring
  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.
• E. Gelfand–Naimark theorem
  The Gelfand–Naimark theorem is a foundational result in functional analysis that characterizes C*-algebras as algebras of bounded operators on a Hilbert space (and, in the commutative case, as algebras of continuous functions on a locally compact Hausdorff space).
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.