Auslander Algebra Trivia Quiz
10 Questions
| Total Attempts: 104
The Auslander Algebra is a work of Maurice Auslander a famous American Mathematician. His work was an Artin Algebra representation. An Artin Algebra is an Auslander Algebra if gl dim Γ ≤ 2 and if 0→Γ→I→J→K→0 is a minimal injective resolution of Γ then I and J are projective Γ-modules; where Γ is the Artin Algebra. Try out this quiz.
Questions and Answers
- 1.
Which of these is a summed up module of Algebra A?- A.
Integrated modules
- B.
Indecomposable module
- C.
Projective module
- D.
Isomorphic module
- 2.
When did Auslander introduce the Algebra?
- A.
1874
- B.
1870
- C.
1974
- D.
1989
- 3.
In these fomular, k[T ]=hT n i, what does k stand for?
- A.
Term
- B.
Natural value
- C.
Module
- D.
Field
- 4.
What does T represent in the Auslander formular?
- A.
Constant
- B.
Value for Artin constant
- C.
Variable
- D.
Function
- 5.
What does the n in the Auslander formular stand for?
- A.
Integers
- B.
Natural Number
- C.
Rational number
- D.
Constant
- 6.
Which of these symbol represents Artin Algebra in relation to Auslander Algebra?
- A.
∆
- B.
μ
- C.
Λ
- D.
Γ
- 7.
What kind of ring is the sum of indecomposable module of A in the Auslander Algebra?
- A.
Module
- B.
Endomorphism
- C.
Homomorphism
- D.
Artin
- 8.
Which of these satisfies the condition for an Artin Algebra to be an Auslander Algebra?
- A.
Γ ≤ 2
- B.
Γ ≥ 2
- C.
Γ < 1
- D.
Γ > 2
- 9.
Which of these people is connected to the Auslander Algebra?
- A.
Reinten
- B.
Becleau
- C.
Herin
- D.
Phills
- 10.
Which of these explains Auslander Algebra of any representation of finite Algebra?
- A.
Budding of Fl
- B.
Blossom of flowers
- C.
Quasi Hereditary
- D.
Passing of Gene
![In these fomular, k[T ]=hT n i, what does k stand for? - ProProfs](https://media.proprofs.com/images/QM/user_images/2305925/1554960814.png "In these fomular, k[T ]=hT n i, what does k stand for?")
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