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Auslander-Reiten Sequences for "Nice" Torsion Theories of Artinian Algebras

Published online by Cambridge University Press:  20 November 2018

K. W. Roggenkamp
K. W. Roggenkamp*
Affiliation:
Mathematisches Institut B Universitat Stuttgart 7 Stuttgart 1, Postfach 560, West Germany
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Let t be a field and a finite dimensional t-algebra. Auslander-Reiten sequences [AR] play a fundamental rôle in the representation theory of ; in particular, they can be used to construct new indecomposable modules from known ones. For the latter reason I think it worthwile to point out certain torsion theories on the category of -modules, such that the category of -torsionfree modules has Auslander-Reiten sequences; thus giving another construction of indecomposable modules.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 1 , 01 March 1980 , pp. 61 - 65
Copyright
Copyright © Canadian Mathematical Society 1980

References

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