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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Auslander-Reiten sequences under base field extension
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by Stanisław Kasjan
Proc. Amer. Math. Soc. 128 (2000), 2885-2896
DOI: https://doi.org/10.1090/S0002-9939-00-05382-X
Published electronically: April 28, 2000

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.
References
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Bibliographic Information
  • Stanisław Kasjan
  • Affiliation: Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
  • MR Author ID: 333741
  • Email: skasjan@mat.uni.torun.pl
  • 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
  • © Copyright 2000 American Mathematical Society
  • 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
  • MathSciNet review: 1670379