A Practice Quiz About Algebra Representation

10 Questions | By Ruso | Last updated: Mar 18, 2022 | Total Attempts: 307

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A Practice Quiz About Algebra Representation - Quiz

Algebra representation is a branch of algebra in abstract algebra and is described as a representation of an associative algebra. It is true that it sounds more like something that a math geek would know about but if you look closely, most of it is very basic. So, what do you know about this branch of algebra? Take our quiz and find out.

Questions and Answers

1.

What's a complex structure?
- A.
  
  It's an morphism of V that squares to the minus identity
- B.
  
  It's an metamorphism of V that squares to the minus identity
- C.
  
  It's an automorphism of V that squares to the minus identity
- D.
  
  It's an automorphism of Q that squares to the minus identity
2.

What's a complex number?
- A.
  
  It's a number that can be expressed in the form of a+bi, where a and b are real numbers.
- B.
  
  It's a number that can be expressed in the form of a+bi, where a is a real number.
- C.
  
  It's a number that can be expressed in the form of a+bi, where b is real number.
- D.
  
  It's a number that can be expressed in the form of a+bi, where a and i are real numbers.
3.

What's the other term for a polynomial ring?
- A.
  
  Polynomial mathematics
- B.
  
  Polynomial algebra
- C.
  
  Polynomial calculation
- D.
  
  Polynomial circle
4.

What's commutative algebra?
- A.
  
  It's the branch of algebra that studies commutative rings.
- B.
  
  It's the branch of algebra that studies commutative rings and their origins.
- C.
  
  It's the branch of geometry that studies commutative rings, their ideals, and modules over such rings.
- D.
  
  It's the branch of algebra that studies commutative rings, their ideals, and modules over such rings.
5.

What's algebraic geometry?
- A.
  
  It's a branch of mathematics, classically studying zeros of multivariate polynomials
- B.
  
  It's a branch of mathematics, classically studying ones of multivariate polynomials
- C.
  
  It's a branch of mathematics, classically studying threes of multivariate polynomials
- D.
  
  It's a branch of mathematics, classically studying tens of multivariate polynomials
6.

What's triangular matrix?
- A.
  
  It's a special kind of cylindre matrix.
- B.
  
  It's a special kind of circle
- C.
  
  It's a special kind of square matrix.
- D.
  
  It's a special kind of shape matrix.
7.

What's the other term for eigen vector?
- A.
  
  Super vector
- B.
  
  One vector
- C.
  
  Characteristic vector
- D.
  
  Old vector
8.

What's the other term for linear functional?
- A.
  
  Linear oval
- B.
  
  Linear shape
- C.
  
  Linear curve
- D.
  
  Linear form
9.

What's derived algebra?
- A.
  
  It's also called algebra g, which is solvable if its derived series terminates in the 0 sub algebra
- B.
  
  It's also called a Lie algebra r, which is solvable if its derived series terminates in the 0 sub algebra
- C.
  
  It's also called a Lie algebra a, which is solvable if its derived series terminates in the 0 sub algebra
- D.
  
  It's also called a Lie algebra g, which is solvable if its derived series terminates in the 0 subalgebra
10.

What's are algebraic varieties?
- A.
  
  They are the central objects of study in algebraic geometry
- B.
  
  They are some of the objects of study in algebraic geometry
- C.
  
  They are the last objects of study in algebraic geometry
- D.
  
  They are the central objects of study in geometry