# Auslander Reiten Theory Quiz

10 Questions | Total Attempts: 106  Settings  Auslander Reiten Theory is a co-work of Maurice Auslander and Idun Reiten in 1975. Their theory studies the representation theory of Artinian rings using the Sequence and quivers techniques. Try this quiz.

Related Topics
• 1.
What part of Algebra is the Auslander Reiten Theory categorized?
• A.

Linear

• B.

• C.

Complex

• D.

Abstract

• 2.
What other name is given the Auslander Reiten Sequence?
• A.

Almost split sequence

• B.

Mid-range sequence

• C.

Anticlimax sequence

• D.

Degree Sequence

• 3.
What does the Auslander Reiten quiver have?
• A.

Variance

• B.

Indiscomposability

• C.

Degree

• D.

Vertex

• 4.
Which of these will warrant adding an arrow in between vertices in an Auslander Reiten quiver?
• A.

When the vertex is negative

• B.

When the sequence is null

• C.

When a morphism is irreducible

• D.

When there is a vector

• 5.
What is the formular of the Auslander Reiten quiver map?
• A.

τ = D Tr ÷∆D

• B.

τ = D Tr

• C.

τ = ∆D Tr

• D.

τ = D.Tr

• 6.
What is another name for the Auslander Reiten quiver map?
• A.

Sequential Transposition

• B.

Translation

• C.

Translocation

• D.

Coordinate

• 7.
What does D stand for in the Auslander Reiten Theory?
• A.

Dual

• B.

Deviation

• C.

Constant Variable

• D.

Domain

• 8.
What does Tr stand for?
• A.

Trigonometric Tripple

• B.

Vector Transpose

• C.

Transpose

• D.

Transpose ratio

• 9.
Which of these satisfies a sequence to be an Auslander Reiten Sequence?
• A.

• B.

The sequence is not split

• C.

The sequence is in decreasing order

• D.

The sequence is split

• 10.
Which of these is true for 0→ A → B → C → 0?
• A.

The module B in the almost split sequence is isomorphic to D Tr A

• B.

The module A in the almost split sequence is isomorphic to D Tr C

• C.

The module A in the almost split sequence is interjective to D Tr B

• D.

The module A in the almost split sequence is not isomorphic