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Auslander-Reiten sequences under base field extension
Author(s):
Stanislaw
Kasjan
Journal:
Proc. Amer. Math. Soc.
128
(2000),
2885-2896.
MSC (1991):
Primary 16G70, 16G60
Posted:
April 28, 2000
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Abstract:
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 Torun, Poland
Email:
skasjan@mat.uni.torun.pl
DOI:
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
Posted:
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
Copyright of article:
Copyright
2000,
American Mathematical Society
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