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The Structure of Stable Components

Published online by Cambridge University Press:  20 November 2018

Yingbo Zhang  and
T. Lang
Yingbo Zhang
Affiliation:
Department of Mathematics Beijing Normal University Beijing, China100875
T. Lang
Affiliation:
Department of Mathematics Beijing Normal University Beijing, China100875
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Let A be an artin algebra. Let ( be a component of the stable Auslander- Reiten quiver of A. If is periodic, then the structure of G is known. Here, we are going to consider the case when is non-periodic: we will show that is isomorphic to Z with a valued quiver. In particular, there is no cyclic path in .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 3 , 01 June 1991 , pp. 652 - 672
Copyright
Copyright © Canadian Mathematical Society 1991

References

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