Hopf Algebra Trivia Quiz
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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.
- 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
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