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Finite representation type is open

Part of the Lecture Notes in Mathematics book series (LNM,volume 488)

Keywords

  • Open Subset
  • Irreducible Component
  • Algebra Structure
  • Open Subscheme
  • Underlying Vector Space

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Literature

  1. M. Artin, On Azymaya algebras and finite dimensional representations of rings, J. Algebra 11 (1969), p. 532–563.

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  2. M. Auslander, Representation dimension of artin algebras, Queen Mary College, Mathematics Notes, 1971.

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  3. M. Demazure—P. Gabriel, Groupes algébriques linéaires, North-Holland Publishing Company 1970, quoted DG

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  4. J. Dieudonne—A. Grothendieck, Eléments de Géometrie Algébriques, Presses Universitaires, Paris 1960, quoted EGA.

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  5. P. Gabriel, Indecomposable representations II, Symposia math. Ist. Naz. di Alta Mat., Vol. XI, 1973.

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  6. P. Gabriel, Représentations indécomposables, Séminaire Bourbaki, 26e année, 1973/74, no 444.

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  7. A. Grothendieck, Séminaire de Géometrie Algébrique I, Springer Lecture Notes, quoted SGA.

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  8. L.A. Nazarova—A.V. Roiter: “Categorical matricial problems and the conjecture of Brauer—Thrall”, preprint Institute of Mathematics of the Academy of Sciences of Ukraine, Kiev 1974.

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  9. Procesi Finite dimensional representations of Algebras Israel Journal of Mathematics, 1975

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© 1975 Springer-Verlag

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Gabriel, P. (1975). Finite representation type is open. In: Dlab, V., Gabriel, P. (eds) Representations of Algebras. Lecture Notes in Mathematics, vol 488. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081219

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  • DOI: https://doi.org/10.1007/BFb0081219

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07406-9

  • Online ISBN: 978-3-540-37921-8

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