On selfinjective algebras of Euclidean type

Helmut Lenzing; Andrzej Skowroński

Colloquium Mathematicae (1999)

  • Volume: 79, Issue: 1, page 71-76
  • ISSN: 0010-1354

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Lenzing, Helmut, and Skowroński, Andrzej. "On selfinjective algebras of Euclidean type." Colloquium Mathematicae 79.1 (1999): 71-76. <http://eudml.org/doc/210628>.

@article{Lenzing1999,
author = {Lenzing, Helmut, Skowroński, Andrzej},
journal = {Colloquium Mathematicae},
keywords = {self-injective algebras; Galois coverings; stable equivalences; repetitive algebras; finite dimensional algebras; representation infinite domestic algebras; tilted algebras},
language = {eng},
number = {1},
pages = {71-76},
title = {On selfinjective algebras of Euclidean type},
url = {http://eudml.org/doc/210628},
volume = {79},
year = {1999},
}

TY - JOUR
AU - Lenzing, Helmut
AU - Skowroński, Andrzej
TI - On selfinjective algebras of Euclidean type
JO - Colloquium Mathematicae
PY - 1999
VL - 79
IS - 1
SP - 71
EP - 76
LA - eng
KW - self-injective algebras; Galois coverings; stable equivalences; repetitive algebras; finite dimensional algebras; representation infinite domestic algebras; tilted algebras
UR - http://eudml.org/doc/210628
ER -

References

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  1. [1] I. Assem, J. Nehring and A. Skowroński, Domestic trivial extensions of simply connected algebras, Tsukuba J. Math. 13 (1989), 31-72. Zbl0686.16011
  2. [2] I. Assem and A. Skowroński, On some classes of simply connected algebras, Proc. London Math. Soc. 56 (1988), 417-450. Zbl0617.16018
  3. [3] W. Geigle and H. Lenzing, A class of weighted projective curves arising in representation theory of finite dimensional algebras, in: Singularities, Representations of Algebras, and Vector Bundles, Lecture Notes in Math. 1273, Springer, 1987, 265-297. Zbl0651.14006
  4. [4] D. Happel, Triangulated Categories in the Representation Theory of Finite Dimensional Algebras, London Math. Soc. Lecture Notes Ser. 119, Cambridge Univ. Press, 1988. Zbl0635.16017
  5. [5] H. Lenzing, A K -theoretic study of canonical algebras, in: Representation Theory of Algebras, Seventh International Conference, Cocoyoc (Mexico) 1994, CMS Conf. Proc. 18, Amer. Math. Soc., 1996, 433-454. Zbl0859.16009
  6. [6] A. Skowroński, Selfinjective algebras of polynomial growth, Math. Ann. 285 (1989), 177-199. Zbl0653.16021
  7. [7] A. Skowroński and K. Yamagata, Galois coverings of selfinjective algebras by repetitive algebras, Trans. Amer. Math. Soc., in press. Zbl0915.16006
  8. [8] A. Skowroński and K. Yamagata, Stable equivalence of selfinjective algebras of tilted type, Arch. Math. (Basel) 70 (1998), 341-350. Zbl0915.16005

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