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Extensions of homologically finite subcategories

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References

  1. M. Auslander, A functorial approach to representation theory. LNM944, 105–179, Berlin-Heidelberg-New York 1982.

    Google Scholar 

  2. M.Auslander, I.Reiten and S. O.Smalø, The representation theory of artin algebras vol. II. In preparation.

  3. M. Auslander andS. O. Smalø, Preprojective modules over artin algebras. J. Algebra66, 61–122 (1980).

    Google Scholar 

  4. M. Auslander andS. O. Smalø, Almost split sequences in subcategories. J. Algebra69, 426–454 (1981).

    Google Scholar 

  5. M.Auslander and Ø.Solberg, Relative homological algebra and representation theory I. Comm. Algebra, to appear.

  6. R.Grecht, Kategorien von Moduln mit Unterräumen. Diplomarbeit, Zürich 1986.

  7. J. A. de la Peña andD. Simson, Prinjective modules, reflection functors, quadratic forms and Auslander-Reiten sequences. Trans. Amer. Math. Soc.329, 733–753 (1992).

    Google Scholar 

  8. C. M. Ringel, The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences. Math. Z.208, 209–223 (1991).

    Google Scholar 

  9. C. M.Ringel, On contravariantly finite subcategories. Preprint.

  10. S. O. Smalø, Functorial finite subcategories over triangular matrix rings. Proc. Amer. Math. Soc.111, 651–656 (1991).

    Google Scholar 

  11. D. Vossieck, Representation de bifuncteurs et interpretation en termes de modules. C.R. Acad. Sci. Paris. Sér. I Math.307, 713–716 (1988).

    Google Scholar 

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Author notes

  1. Svein A. Sikko & Sverre O. Smalø

    Present address: Department of Mathematics, University of Trondheim, Trondheim, Norway

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    1. Svein A. Sikko
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    2. Sverre O. Smalø
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    Supported by the Norwegian Research Council in Science and Humanities.

    Partially supported by the Norwegian Research Council in Science and Humanities.

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    Sikko, S.A., Smalø, S.O. Extensions of homologically finite subcategories. Arch. Math 60, 517–526 (1993). https://doi.org/10.1007/BF01236075

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