The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary Artin algebra

Dlab V, Ringel CM (2008)
Mathematical Reports of the Academy of Science of the Royal Society of Canada 30(3): 89-96.

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Autor*in
Dlab, Vlastimil ; Ringel, Claus MichaelUniBi
Abstract / Bemerkung
Let Λ be a hereditary Artin algebra andMa Λ-modulethat is both a generator and a cogenerator. We are going to describe the possibilities for the global dimension of End(M) in terms of the cardinalities of the Auslander–Reiten orbits of indecomposable Λ-modules.
Stichworte
hereditary Artin algebras; representation dimension
Erscheinungsjahr
2008
Zeitschriftentitel
Mathematical Reports of the Academy of Science of the Royal Society of Canada
Band
30
Ausgabe
3
Seite(n)
89-96
ISSN
0706-1994
Page URI
https://pub.uni-bielefeld.de/record/2940870

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Dlab V, Ringel CM. The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary Artin algebra. Mathematical Reports of the Academy of Science of the Royal Society of Canada. 2008;30(3):89-96.
Dlab, V., & Ringel, C. M. (2008). The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary Artin algebra. Mathematical Reports of the Academy of Science of the Royal Society of Canada, 30(3), 89-96.
Dlab, V., and Ringel, C. M. (2008). The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary Artin algebra. Mathematical Reports of the Academy of Science of the Royal Society of Canada 30, 89-96.
Dlab, V., & Ringel, C.M., 2008. The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary Artin algebra. Mathematical Reports of the Academy of Science of the Royal Society of Canada, 30(3), p 89-96.
V. Dlab and C.M. Ringel, “The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary Artin algebra”, Mathematical Reports of the Academy of Science of the Royal Society of Canada, vol. 30, 2008, pp. 89-96.
Dlab, V., Ringel, C.M.: The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary Artin algebra. Mathematical Reports of the Academy of Science of the Royal Society of Canada. 30, 89-96 (2008).
Dlab, Vlastimil, and Ringel, Claus Michael. “The global dimension of the endomorphism ring of a generator-cogenerator for a hereditary Artin algebra”. Mathematical Reports of the Academy of Science of the Royal Society of Canada 30.3 (2008): 89-96.

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