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: Fitting ideal | Statement: [Hans Fitting, notableConcept, Fitting ideal]

Target entity: Fitting ideal
Context triple: [Hans Fitting, notableConcept, Fitting ideal]

• A. Fitter
  Fitter is the NATO reporting name for the Soviet-designed Sukhoi Su-17/20/22 family of variable-sweep wing fighter-bomber aircraft.
• B. Fittja
  Fittja is a suburban district in the southern part of the Stockholm metropolitan area in Sweden, known for its diverse population and large-scale postwar housing.
• C. Hilbert’s syzygy theorem
  Hilbert’s syzygy theorem is a fundamental result in commutative algebra that describes the finite length and structure of free resolutions of modules over polynomial rings.
• D. Levine-Fricke Field
  Levine-Fricke Field is the home softball stadium of the University of California, Berkeley Golden Bears, located on the university’s campus in Berkeley, California.
• E. Hilbert’s Nullstellensatz
  Hilbert’s Nullstellensatz is a foundational theorem in algebraic geometry that establishes a deep correspondence between ideals in polynomial rings and algebraic sets, linking algebra and geometry.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Fitting ideal
Triple: [Hans Fitting, notableConcept, Fitting ideal]

The Fitting ideal is an algebraic invariant in commutative algebra and module theory that encodes information about the structure and relations of a finitely generated module over a ring.

Target entity: Fitting ideal
Target entity description: The Fitting ideal is an algebraic invariant in commutative algebra and module theory that encodes information about the structure and relations of a finitely generated module over a ring.

• A. Fitter
  Fitter is the NATO reporting name for the Soviet-designed Sukhoi Su-17/20/22 family of variable-sweep wing fighter-bomber aircraft.
• B. Fittja
  Fittja is a suburban district in the southern part of the Stockholm metropolitan area in Sweden, known for its diverse population and large-scale postwar housing.
• C. Hilbert’s syzygy theorem
  Hilbert’s syzygy theorem is a fundamental result in commutative algebra that describes the finite length and structure of free resolutions of modules over polynomial rings.
• D. Levine-Fricke Field
  Levine-Fricke Field is the home softball stadium of the University of California, Berkeley Golden Bears, located on the university’s campus in Berkeley, California.
• E. Hilbert’s Nullstellensatz
  Hilbert’s Nullstellensatz is a foundational theorem in algebraic geometry that establishes a deep correspondence between ideals in polynomial rings and algebraic sets, linking algebra and geometry.
• F. None of above. chosen