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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Auslander-Reiten sequences under base field extension


Author: Stanislaw Kasjan
Journal: Proc. Amer. Math. Soc. 128 (2000), 2885-2896
MSC (1991): Primary 16G70, 16G60
Published electronically: April 28, 2000
MathSciNet review: 1670379
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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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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: http://dx.doi.org/10.1090/S0002-9939-00-05382-X
PII: S 0002-9939(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