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Sur les algebres de Rees II

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Abstract

The notion of a Rees ring was introduced in view of what one calls today the Artin — Rees lemma. In fact, it is the Rees algebra of an ideal of a commutative ring with identity. We give in this paper a number of results which concern the Rees algebra of a module over a commutative ring with identity which also complete those of a previous paper (cf. [7]). In particular, we show that the Rees algebra of a module can be approached, in a sense which is made precise in the paper, through tensor or symmetric flat algebras.

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Bibliographie

  1. N. BOURBAKI, Algèbre Commutative, Chapitres 1 et 2, Hermann, Paris 1961

    Google Scholar 

  2. N. BOURBAKI, Algèbre, chapitres 1 à 3, Hermann, Paris 1970

    Google Scholar 

  3. P. CARTIER: Questions de rationnanté des diviseurs en Géométrie Algébrique. Appendice,Bull. Soc. Math. France86 (1958), 177–251

    Google Scholar 

  4. R. COSTA: Aproximação de álgebras universais por álgebras planas e o funtor álgebra universal topologico, thèse de doctorat, Université de Sao Paulo, São Paulo, 1972

    Google Scholar 

  5. D. FERRAND: Communications orales

  6. A. MICALI: Sur les algèbres universelles, Ann. Inst. Fourier Grenoble,14 (1964),33–88

    Google Scholar 

  7. A. MICALI: Sur les algèbres de Rees, Bull. Soc. Math. de Belgique20 (1968), 215–235

    Google Scholar 

  8. A. MICALI O.E. VILLAMAYOR: Algebra Multilineal, Collection Mathématique de l'O.E.A., Washington 1976

    Google Scholar 

  9. J.P. OLIVIER: Descente de quelques propriétés élémentaires par morphismes purs, Anais da Academia Brasileira de Ciencias45 (1973), 17–33

    Google Scholar 

  10. M.F. PILCHARD: Anneau de Rees d'un idéal, D.E.A. de Mathématiques, Université de Montpellier, Montpellier 1969

    Google Scholar 

  11. M.F. PINCHARD: Algèbres de Rees, thèse de 3ème cyclen de Mathématiques, Université de Montpellier, Montpellier 1969

    Google Scholar 

  12. M. RAMRAS: Free exterior poxers, J. of algebra19 (1971), 110–115

    Google Scholar 

  13. D. REES: Two classical theorems of ideal theory, Proc. Cambridge Phil. Soc.52 (1956), 155–157

    Google Scholar 

  14. P. RIBEKBOIM: Aneis de Rees integramente fechados, Atas de 2° Coloquio Brasileiro de Matematica Poços de Caldas (1959), 11–13

  15. P. RIBENBOIM: Anneaux de Rees intégralement clos, Journal für R. und A. Mathematik204 (1960), 99–107

    Google Scholar 

  16. W.V. VASCONCELOS: Communications orales

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Authors and Affiliations

  1. Instituto de Matemática e Estatistica Universidade de São Paulo Cidade Universitária, C.P. 20570, São Paulo, SP, Brésil

    Roberto Costa

  2. UER de Mathématiques Université de Montpellier II Place Eugène Bataillon, 34060, Montpellier, France

    Artibano Micali

Authors
  1. Roberto Costa
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  2. Artibano Micali
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Costa, R., Micali, A. Sur les algebres de Rees II. Manuscripta Math 26, 1–15 (1978). https://doi.org/10.1007/BF01167964

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  • DOI: https://doi.org/10.1007/BF01167964

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