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Preprojective modules: An introduction and some applications

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

  1. ALPERIN, J.L.: A preprojective module which is not strongly preprojective. To appear.

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  2. AUSLANDER, M., REITEN, I.: Representation theory of algebras III. Almost split sequences. Comm. in Algebra. Vol. 3 (1975), 239–294.

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  3. AUSLANDER, M., REITEN, I.: Representation theory of artin algebras IV. Invariants given by almost split sequences. Comm. in Algebra. Vol. 5 (1977), 441–518.

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  4. AUSLANDER,M., SMALØ,S.O.: Preprojective modules over artin algebras. To appear in Journal of Algebra.

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  5. 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.

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  6. GABRIEL, P.: Indecomposable Representations II. Symposia Mathematica, Vol. XI. Academic Press, London (1973), 81–104.

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  8. 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.

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© 1980 Springer-Verlag

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Auslander, M., Smalø, S.O. (1980). Preprojective modules: An introduction and some applications. In: Dlab, V., Gabriel, P. (eds) Representation Theory II. Lecture Notes in Mathematics, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088458

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  • DOI: https://doi.org/10.1007/BFb0088458

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10264-9

  • Online ISBN: 978-3-540-38387-1

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