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: Kummer theory | Statement: [Kummer, hasEponym, Kummer theory]

Target entity: Kummer theory
Context triple: [Kummer, hasEponym, Kummer theory]

• A. Kummer theory chosen
  Kummer theory is a branch of algebraic number theory that studies abelian extensions of fields, especially cyclotomic and radical extensions, using properties of roots of unity and ideal class groups.
• B. Artin–Schreier theory
  Artin–Schreier theory is a branch of algebraic number theory and field theory that characterizes cyclic extensions of prime degree in fields of characteristic p using additive polynomials.
• C. Galois theory
  Galois theory is a branch of abstract algebra that studies field extensions and polynomial equations through the structure of their associated symmetry groups.
• D. Kummer's theorem (number theory)
  Kummer's theorem (number theory) is a result that characterizes the highest power of a prime dividing a binomial coefficient by counting the carries that occur when adding the binomial parameters in base that prime.
• E. Kronecker–Weber theorem
  The Kronecker–Weber theorem is a fundamental result in algebraic number theory stating that every finite abelian extension of the rational numbers is contained in a cyclotomic field generated by roots of unity.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.