Geodesic
Selfinjective algebras of euclidean type with almost regular nonperiodic Auslander–Reiten components
Grzegorz Bobiński 1   ; Andrzej Skowroński 1
1 Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toru/n, Poland
Colloquium Mathematicum, Tome 88 (2001) no. 1, pp. 93-120 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We give a complete description of finite-dimensional selfinjective algebras of Euclidean tilted type over an algebraically closed field whose all nonperiodic Auslander–Reiten components are almost regular. In particular, we describe the tame selfinjective finite-dimensional algebras whose all nonperiodic Auslander–Reiten components are almost regular and generalized standard.
DOI : 10.4064/cm88-1-8
Keywords: complete description finite dimensional selfinjective algebras euclidean tilted type algebraically closed field whose nonperiodic auslander reiten components almost regular particular describe tame selfinjective finite dimensional algebras whose nonperiodic auslander reiten components almost regular generalized standard

Grzegorz Bobiński  1   ; Andrzej Skowroński  1

1 Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toru/n, Poland 
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     title = {Selfinjective algebras of euclidean type
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Grzegorz Bobiński; Andrzej Skowroński. Selfinjective algebras of euclidean type
with almost regular nonperiodic Auslander–Reiten 
components. Colloquium Mathematicum, Tome 88 (2001) no. 1, pp. 93-120. doi: 10.4064/cm88-1-8

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