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Operation of automorphisms on 1-tubes
Journal article   Open access   Peer reviewed

Operation of automorphisms on 1-tubes

Frauke M Bleher
Journal of pure and applied algebra, Vol.138(1), pp.1-20
1999
DOI: 10.1016/S0022-4049(97)00213-2
url
https://doi.org/10.1016/S0022-4049(97)00213-2View
Published (Version of record) Open Access

Abstract

This paper deals with the operation of ring authomorphisms of string algebras on the corresponding Auslander-Reiten quiver. Given an arbitrary ring automorphism, its action on each family of 1-tubes, when considered separately, is determined. In case that the string algebra is domestic, this yields a complete description of the simultaneous action of every ring automorphism on all finitely generated modules.

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