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On Algebras Stably Equivalent to an Hereditary Artin Algebra

Published online by Cambridge University Press:  20 November 2018

María Inés Platzeck*
Affiliation:
University of Illinois at Urbana-Champaign, Urbana, Illinois
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Let Λ be an artin algebra, that is, an artin ring that is a finitely generated module over its center C which is also an artin ring. We denote by mod Λ the category of finitely generated left Λ-modules. We recall that the category of finitely generated modules modulo projectives is the category given by the following data: the objects are the finitely generated Λ-modules.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Auslander, M. and Reiten, I., Stable equivalence of artin algebras, Conference on orders, group rings and related topics, Springer Lecture Notes 353 (1973), 871.Google Scholar
2. Auslander, M. and Platzeck, M. I., Representation theory of hereditary artin algebras, Proceeding of the Conference on Representation of Algebras, Temple Univ., Philadelphia, to appear.Google Scholar
3. Dlab, V. and Ringel, C. M., Indecomposable representations of graphs and algebras, Memoirs of the Amer. Math. Soc. Vol. 6, No. 173 (1976).Google Scholar
4. Platzeck, M. I., Representation theory of algebras stably equivalent to an hereditary artin algebra, to appear, Trans. Amer. Math. Soc.Google Scholar