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Ultraproduits et modules sans facteurs directs de type fini

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Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin

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Bibliographie

  1. K. ASANO, "Uber Hauptidealringe mit Kettensaltz" Osaka Math. J. 1, 52–61 (1949).

    MathSciNet  MATH  Google Scholar 

  2. M. AUSLANDER, "Large modules over Artin algebras", in "Algebra, Topology and Category Theory", pp. 1–17, Academic Press, New-York 1976.

    Google Scholar 

  3. D. BAER, H. BRUNE and H. LENZING, "A homological approach to representations of algebras II: Tame Hereditary algebras", J. Pure Appl. Algebra 26 (1982), 141–153.

    Article  MathSciNet  MATH  Google Scholar 

  4. J.L. BELL and A.W. SLOMSON, "Models and ultraproducts" North-Holland, Amsterdam, 1971.

    MATH  Google Scholar 

  5. P. EKLOF and G. SABBAGH, "Model-completions of modules", Ann. Math. Logic, vol. 2 (1971), pp; 251–295.

    Article  MathSciNet  MATH  Google Scholar 

  6. S. FAKIR et L. HADDAD, "Objets cohérents et ultraproduits dans les catégories", J. of algebra, 21, (1972), pp. 410–421.

    Article  MathSciNet  MATH  Google Scholar 

  7. K.R. FULLER, "On indecomposable injectives over artinian rings" Pacific J. of Maths. Vol 29 no 1, 115–135 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  8. L. GRUSON and C.U. JENSEN, "Modules algébriquement compacts et foncteur lim(i)", C.R. Acad. Sci. Paris 276 (1973) 1651–1653.

    MathSciNet  MATH  Google Scholar 

  9. L. GRUSON and C.U. JENSEN, "Deux applications de la notion de L-dimension", C.R. Acad. Sc. Paris, T.282 (1976), 23–24.

    MathSciNet  MATH  Google Scholar 

  10. L.A. NAZAROVA et A.V. ROITER, "Categorical matrix problems and the Brauer-Thrall conjecture", preprint Kiev, 1973.

    Google Scholar 

  11. M. PREST, "Rings of finite representation type and modules of finite Morley rank", J. of Algebras 88 (1984), 502–533.

    Article  MathSciNet  MATH  Google Scholar 

  12. G. SABBAGH, "Aspects logiques de la pureté dans les modules", C.R. Acad. Sci. Paris, 271 (1970), 909–912.

    MathSciNet  MATH  Google Scholar 

  13. W. STEPHENSON, "Modules whose lattice of submodules is distributive". Proc. London Math. Soc. (3) 28, 291–310 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  14. F. TAHA, "Algèbres simples centrales sur les corps ultraproduits de corps p-adiques". Séminaire d'Algèbre P. Dubreil et M.P. Malliavin, (34ème année). Lectures Notes in Math. Vol. 924, p.89–128.

    Google Scholar 

  15. R.B. WARFIELD, Jr., "Purity and algebraic compactness for modules", Pac. J. of Maths, Vol. 28, no 3 (1969), pp.699–719.

    Article  MathSciNet  MATH  Google Scholar 

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Marie-Paule Malliavin

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© 1987 Springer-Verlag

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Zayed, M. (1987). Ultraproduits et modules sans facteurs directs de type fini. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 1296. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078534

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  • DOI: https://doi.org/10.1007/BFb0078534

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  • Print ISBN: 978-3-540-18690-8

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