# Hopf Algebra Trivia Quiz

10 Questions | Total Attempts: 117  Settings  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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