Hopf Algebra Trivia Quiz

10 Questions

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Hopf Algebra Quizzes & Trivia

Hopf Algebra is a structure of Algebra that is simultaneously an algebra i. E. , unital associative and a coalgebra i. E. , counital coassociative. Hopf algebras occurred naturally in algebraic topology, where they originated. It is described as a representation of the underlying associated algebra of abstract algebra. Try this quiz.


Questions and Answers
  • 1. 
    The Hopf Algebra was named after who?
    • A. 

      Ken Hopf

    • B. 

      Donal Hopf

    • C. 

      Charles Hopf

    • D. 

      Heinz Hopf

  • 2. 
    Hopf Algebra is related to which of these?
    • A. 

      H-space concept

    • B. 

      Artinian Ring

    • C. 

      Auslander Algebra

    • D. 

      GIS

  • 3. 
    Hopf Algebra is classified under which of the following?
    • A. 

      Artinian Ring

    • B. 

      Bialgebra

    • C. 

      Associative Algebra

    • D. 

      Otto's concept

  • 4. 
    Which of these is Hopf Algebra not applied?
    • A. 

      String theory

    • B. 

      Quantum field theory

    • C. 

      Space Physics

    • D. 

      Condensed-matter Physics

  • 5. 
    The quantization of algebra which are neither commutative nor co-commutative are also called Hopf Algebra. What is this type of Hopf Algebra called?
    • A. 

      Abstract

    • B. 

      Artinian Ring

    • C. 

      Quantum groups

    • D. 

      Quantum operation

  • 6. 
    In which of the following is quantum groups important?
    • A. 

      Solid Geometry

    • B. 

      Commutative Geometry

    • C. 

      Non-commutative Geometry

    • D. 

      Abstract Algebra

  • 7. 
    What is the similarity between weak hopf Algebra and Hopf Algebra?
    • A. 

      Self duality

    • B. 

      The Hopf constant

    • C. 

      The Artinian Ring

    • D. 

      Balanced Duality

  • 8. 
    What is the difference between weak Hopf Algebra and Hopf Algebra?
    • A. 

      Self duality

    • B. 

      Weak Hopf Algebra is a generalized Hopf Algebra

    • C. 

      Weak Hopf Algebra is a quantized Hopf Algebra

    • D. 

      Weak Hopf Algebra is the foundation of Topological Quantum computation

  • 9. 
    What is another name for weak Hopf Algebra?
    • A. 

      Quantum group

    • B. 

      Quantum computation

    • C. 

      Quantum groupoid

    • D. 

      Quantum algebra

  • 10. 
    What else is coalgebra called?
    • A. 

      Double ring Algebra

    • B. 

      Dual operation algebra

    • C. 

      Cogebra

    • D. 

      Duogebra