The self-injective cluster-tilted algebras

Ringel CM (2008)
Archiv der Mathematik 91(3): 218-225.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Abstract / Bemerkung
We are going to determine the self-injective cluster-tilted algebras. All are of finite representation type and special biserial. There are two different classes. The first class are the self-injective serial (or Nakayama) algebras with n >= 3 simple modules and Loewy length n-1. The second class of algebras has an even number 2m of simple modules; m indecomposable projective modules have length 3, the remaining m have length m + 1.
Stichworte
self-injective algebras; cluster-tilted algebras; biserial algebras
Erscheinungsjahr
2008
Zeitschriftentitel
Archiv der Mathematik
Band
91
Ausgabe
3
Seite(n)
218-225
ISSN
0003-889X
Page URI
https://pub.uni-bielefeld.de/record/1586332

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Ringel CM. The self-injective cluster-tilted algebras. Archiv der Mathematik. 2008;91(3):218-225.
Ringel, C. M. (2008). The self-injective cluster-tilted algebras. Archiv der Mathematik, 91(3), 218-225. doi:10.1007/s00013-008-2469-3
Ringel, C. M. (2008). The self-injective cluster-tilted algebras. Archiv der Mathematik 91, 218-225.
Ringel, C.M., 2008. The self-injective cluster-tilted algebras. Archiv der Mathematik, 91(3), p 218-225.
C.M. Ringel, “The self-injective cluster-tilted algebras”, Archiv der Mathematik, vol. 91, 2008, pp. 218-225.
Ringel, C.M.: The self-injective cluster-tilted algebras. Archiv der Mathematik. 91, 218-225 (2008).
Ringel, Claus Michael. “The self-injective cluster-tilted algebras”. Archiv der Mathematik 91.3 (2008): 218-225.