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Tilting invariance of the Auslander-Reiten conjecture

Authors
Publisher
International Press
Publication Date
Disciplines
  • Mathematics

Abstract

Let $R$ be an artin algebra and $T$ be a tilting or cotilting $R$-module with $S=\mr{End}_RT$. We show that $R$ satisfies the Auslander-Reiten conjecture if and only if so does $S$.

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