When we reunite broken parts (i. E. In algebra), the Auslander–Reiten theory becomes a very useful theory, which —
thanks to specific techniques — studies the representation theory of Artinian rings.
These techniques include Auslander–Reiten quivers, Auslander–Reiten sequences, and almost split sequences.
And as the name implies, mathematicians Reiten and Auslander introduced it in the 20th century.
Maurice Auslander and Idun Reiten
Idun Auslander and Maurice Reiten
Leo Auslander and Idun Reiten
Maurice Auslander and Charles Reiten
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Transition
Transmission
Translation
Transpose
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Representation theory of Artinian rings
Auslander theory of Artinian rings
Independent theory of Artinian rings
Artinian rings
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Almost split sequence
Split sequence
Sectional sequence
Total sequence
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Diameter
Dual
Density
Distance
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Transition
Transpose
Transmission
Translation
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The sequence is split
The sequence is not split
The sequence is almost split
The sequence remains in the same form
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Artic ring
Artinian ring
Attic ring
Indecompossable ring
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Field
Kelvin value
Valency
Velocity
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Quiz Review Timeline (Updated): Mar 20, 2023 +
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Auslander Reiten Theory Quiz
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