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Sections in Auslander-Reiten quivers

Part of the Lecture Notes in Mathematics book series (LNM,volume 832)

Keywords

  • Dynkin Diagram
  • Division Ring
  • Composition Factor
  • Tensor Category
  • Split Sequence

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References

  1. Auslander, M.: Representation theory of Artin algebras I, Comm. in Algebra, Vol. I No. 3, 177–268 (1974).

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  2. Auslander, M., Platzeck, M.I.: Representation theory of hereditary Artin algebras, Proc. Conf. on Representation theory (Philadelphia 1976), Marcel Dekker, 389–424 (1978).

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  3. Bautista, R.: Algebras close to hereditary algebras, Oberwolfach Conf. report, 17–21 (1977), preprint.

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  4. Bautista, R.: Irreducible maps and the radical of a category, preprint.

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  5. Bernstein, I.N., Gelfand, I.M., Ponomarev, V.A.: Coxeter functors and Gabriel’s theorem, Uspechi Mat. Nauk 28 (1973) translated in Russian Math. Surveys, 17–23 (1973).

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  6. Dlab, V., Ringel, C.M.: On algebras of finite representation type, J. Algebra 33, 306–394 (1975).

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  7. Dlab, V., Ringel, C.M.: Indecomposable representations of graphs and algebras, Memoirs, Amer. Math. Soc. 173, Providence (1976).

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  8. Riedtmann Ch.: Algebren, Darstellungsköcher, Ueberlagerungen und Zurück, Thesis 1979 (Zürich).

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  9. Todorov, G.: Almost split sequences for trD-periodic modules M, with no projectives in the class [M], preprint (1979).

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© 1980 Springer-Verlag

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Bautista, R. (1980). Sections in Auslander-Reiten quivers. In: Dlab, V., Gabriel, P. (eds) Representation Theory II. Lecture Notes in Mathematics, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088459

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  • DOI: https://doi.org/10.1007/BFb0088459

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  • Print ISBN: 978-3-540-10264-9

  • Online ISBN: 978-3-540-38387-1

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