# 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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topLenzing, 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

top- [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] I. Assem and A. Skowroński, On some classes of simply connected algebras, Proc. London Math. Soc. 56 (1988), 417-450. Zbl0617.16018
- [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] 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] 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] A. Skowroński, Selfinjective algebras of polynomial growth, Math. Ann. 285 (1989), 177-199. Zbl0653.16021
- [7] A. Skowroński and K. Yamagata, Galois coverings of selfinjective algebras by repetitive algebras, Trans. Amer. Math. Soc., in press. Zbl0915.16006
- [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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