Auslander-Reiten sequences under base field extension

Author:
Stanislaw Kasjan

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2885-2896

MSC (1991):
Primary 16G70, 16G60

DOI:
https://doi.org/10.1090/S0002-9939-00-05382-X

Published electronically:
April 28, 2000

MathSciNet review:
1670379

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Abstract | References | Similar Articles | Additional Information

We investigate the behaviour of Auslander-Reiten sequences of modules over a finite dimensional algebra over a field 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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Additional Information

**Stanislaw Kasjan**

Affiliation:
Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Email:
skasjan@mat.uni.torun.pl

DOI:
https://doi.org/10.1090/S0002-9939-00-05382-X

Received by editor(s):
April 20, 1998

Received by editor(s) in revised form:
December 1, 1998

Published electronically:
April 28, 2000

Additional Notes:
The author was supported by Polish KBN Grant 2 P03A 007 12

Dedicated:
Dedicated to Professor Helmut Lenzing on the occasion of his sixtieth birthday

Communicated by:
Ken Goodearl

Article copyright:
© Copyright 2000
American Mathematical Society