Auslander-Reiten sequences under base field extension

Kasjan, Stanisław

doi:10.1090/S0002-9939-00-05382-X

Auslander-Reiten sequences under base field extension
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Proc. Amer. Math. Soc. 128 (2000), 2885-2896 Request permission

Abstract:

We investigate the behaviour of Auslander-Reiten sequences of modules over a finite dimensional algebra over a field $k$ under base field extension. It is proved that an Auslander-Reiten sequence splits into a direct sum of Auslander-Reiten sequences provided the extension is separable in the sense of MacLane.

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