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Preprojective modules: An introduction and some applications

  • M. Auslander
  • S. O. Smalø
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 832)

Keywords

Projective Module Minimal Cover Injective Morphism Indecomposable Module Split Sequence 
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References

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    ALPERIN, J.L.: A preprojective module which is not strongly preprojective. To appear.Google Scholar
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    AUSLANDER, M., REITEN, I.: Representation theory of algebras III. Almost split sequences. Comm. in Algebra. Vol. 3 (1975), 239–294.MathSciNetCrossRefzbMATHGoogle Scholar
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    AUSLANDER, M., REITEN, I.: Representation theory of artin algebras IV. Invariants given by almost split sequences. Comm. in Algebra. Vol. 5 (1977), 441–518.MathSciNetzbMATHGoogle Scholar
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    AUSLANDER,M., SMALØ,S.O.: Preprojective modules over artin algebras. To appear in Journal of Algebra.Google Scholar
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    DLAB,V.,RINGEL,C.M.: The representation theory of tame hereditary artin algebras. Representation theory of algebras. (Proc. Conf. Temple University, Philadelphia, PA, 1976). Lecture Notes in Pure and Applied Math. Vol. 37, M. Dekker, N.Y., 1978.Google Scholar
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    GABRIEL, P.: Indecomposable Representations II. Symposia Mathematica, Vol. XI. Academic Press, London (1973), 81–104.Google Scholar
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    PLATZECK, M.I.: Representation theory of algebras stably equivalent to hereditary artin algebras. Transactions of the A.M.S. 238 (1978), 89–128.MathSciNetCrossRefzbMATHGoogle Scholar
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    ROITER, A.V.: Unboundness of the dimension of the indecomposable representations of an algebra which has infinitely many indecomposable representations. Izv. Akad. SSSR. Ser. Mat. 32 (1968), 1275–1282.MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • M. Auslander
    • 1
    • 2
  • S. O. Smalø
    • 1
    • 2
  1. 1.Department of MathematicsBrandeis UniversityWalthamUSA
  2. 2.Matematisk institutUniversitetet i Trondheim, NLHTDragvollNorway

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