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Auslander-Reiten sequences under base field extension
Authors:Stanislaw Kasjan
Institution:Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Torun, Poland
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.

Keywords:
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