Auslander-Reiten theory

noun

The study of the representation theory of Artinian rings using techniques such as Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers.

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Meanings

nounAuslander-Reiten theory (uncountable)
  1. uncountablealgebraThe study of the representation theory of Artinian rings using techniques such as Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers.

Origin

Introduced by Maurice Auslander and Idun Reiten (1975).

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Cite this entry
APA

Auslander-Reiten theory. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Auslander-Reiten%20theory

MLA

“Auslander-Reiten theory.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Auslander-Reiten%20theory. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Auslander-Reiten theory,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Auslander-Reiten%20theory.

Source: Auslander-Reiten theory on Wiktionary, CC BY-SA 4.0.