What Do You Know About Ringel–hall Algebra?

10 Questions | By AdeKoju | Last updated: Mar 19, 2022 | Total Attempts: 103

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What Do You Know About Ringelhall Algebra? - Quiz

Studied and considered by German mathematician C. M. Ringel in the 1990s, a Ringel–Hall algebra is exclusively applicable in mathematics as a generalization of an associative algebra called the Hall algebra. To further know more about this intriguing mathematics topic, take this short, intelligent quiz to learn more and assess your knowledge.

Questions and Answers

1.

When was the Hall algebra rediscovered by Philip Hall?
- A.
  
  1959
- B.
  
  1950
- C.
  
  1962
- D.
  
  1977
2.

What are the structure constants of the Hall algebra?
- A.
  
  Hall numbers
- B.
  
  Hall polynomials
- C.
  
  Hall matrices
- D.
  
  Hall vectors
3.

What is an algebraic structure with compatible operations of addition and multiplication?
- A.
  
  Dissociative algebra
- B.
  
  Algebraic constant
- C.
  
  Linear space
- D.
  
  Associative algebra
4.

What is a collection of objects which may be added together and multiplied by numbers?
- A.
  
  Set
- B.
  
  Vector space
- C.
  
  Association
- D.
  
  Matrix
5.

What is a statement that is taken to be true, to serve as a premise for more arguments and reasoning?
- A.
  
  Axiom
- B.
  
  Logic
- C.
  
  Argument
- D.
  
  Law
6.

What are statements that are taken to be true within the system of logic they define?
- A.
  
  Vector axioms
- B.
  
  Logical axioms
- C.
  
  Vector spaces
- D.
  
  Logical vectors
7.

What is the study of the properties of space that are preserved under continuous deformations (such as stretching and bending, but not tearing or gluing)?
- A.
  
  Viscosity
- B.
  
  Combination
- C.
  
  Topology
- D.
  
  Linearity
8.

What is a sequence whose elements become arbitrarily close to each other as the sequence progresses?
- A.
  
  Cauchy sequence
- B.
  
  Banach sequence
- C.
  
  Vector line
- D.
  
  Vector sequence
9.

What is a number system that extends complex numbers?
- A.
  
  Quaternion
- B.
  
  Right rule
- C.
  
  Commutation
- D.
  
  Levi symbol
10.

What are used to explicitly specify the product of two basis vectors in the algebra as a linear combination?
- A.
  
  Structure constants
- B.
  
  Quaternions
- C.
  
  Conjugate structures
- D.
  
  Real structures