Geodesic
The component quiver of a self-injective artin algebra
Alicja Jaworska 1   ; Andrzej Skowroński 1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 233-239 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the component quiver ${\mit\Sigma }_A$ of a connected self-injective artin algebra $A$ of infinite representation type is fully cyclic, that is, every finite set of components of the Auslander–Reiten quiver ${\mit\Gamma }_A$ of $A$ lies on a common oriented cycle in ${\mit \Sigma }_A$.
DOI : 10.4064/cm122-2-8
Keywords: prove component quiver mit sigma connected self injective artin algebra infinite representation type fully cyclic every finite set components auslander reiten quiver mit gamma lies common oriented cycle nbsp mit sigma

Alicja Jaworska  1   ; Andrzej Skowroński  1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Alicja Jaworska; Andrzej Skowroński. The component quiver of
 a self-injective artin algebra. Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 233-239. doi: 10.4064/cm122-2-8

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