Mathematical Research Letters

Volume 17 (2010)

Number 1

Tilting Invariance of the Auslander-Reiten Conjecture

Pages: 171 – 176

DOI: http://dx.doi.org/10.4310/MRL.2010.v17.n1.a13

Author

Jiaqun Wei (Nanjing Normal University)

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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