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A functorial approach to representation theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 944)

Keywords

  • Exact Sequence
  • Finite Length
  • Projective Cover
  • Indecomposable Module
  • Contravariant Functor

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References

  1. Auslander, M., Coherent functors, Proceedings of the Conference on Categorical Algebra, Springer-Verlag, New York, 1966.

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  2. Auslander, M., Representation theory of artin algebras II, Comm. Algebra (1974), 269–310.

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  3. Riedtmann, Ch., Proprojective partitions for s f-injective algebras, J. Algebra (to appear).

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  4. Ringel, C.M. and Tachikawa, H., QF 3-Rings, J. reine angew. Math. 272 (1975), 49–72.

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  5. Zacharia, D., Preprojective partitions for hereditary algebras, Trans. A.M.S. (to appear).

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Bibliography

  1. Auslander, M., Functors and morphisms determined by objects, Proc. Conf. on Representation Theory (Philadelphia 1976), Marcel Dekker (1978), 245–327.

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  2. Auslander, M., Representation theory of artin algebras I, Comm. Algebra 1 (1974), 177–268.

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  3. Auslander, M. and Reiten I., Stable equivalence of dualizing R-varieties I, Advances in Math. 12 (1974), 306–366.

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  4. Auslander, M. and Sverre O. Swalø, Preprojective modules over artin algebras, J. Algebra 66 (1980), 61–122.

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© 1982 Springer-Verlag

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Auslander, M. (1982). A functorial approach to representation theory. In: Auslander, M., Lluis, E. (eds) Representations of Algebras. Lecture Notes in Mathematics, vol 944. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094058

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  • DOI: https://doi.org/10.1007/BFb0094058

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11577-9

  • Online ISBN: 978-3-540-39313-9

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