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Un theoreme de l'ideal a gauche principal dans certains anneaux

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Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 924))

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Bibliographie

  1. AMITSUR S.A. et SMALL L.W., Prime ideals in PI-rings J. of algebra, 62, 358–383, 1980.

    Article  MathSciNet  MATH  Google Scholar 

  2. BLAIR W.D., Rigt noetherian rings integral over their centers: J. of Algebra, 27, 1973, 187–198.

    Article  MathSciNet  MATH  Google Scholar 

  3. BRAUN A., A characterization of prime noetherian PI-rings and a theorem of Mori-Nagata Proc. of the amer. math. soc. 74 (1), 1979, 9–15.

    MATH  Google Scholar 

  4. CHAMARIE M., Localisation dans les ordres maximaux, Comm. in Algebra, 2, 1974, 279–293.

    Article  MathSciNet  MATH  Google Scholar 

  5. CHAMARIE M., Ordres maximaux et R-ordres maximaux, J. of algebra 58, 1979, 148–156.

    Article  MathSciNet  MATH  Google Scholar 

  6. CHAMARIE M. et HUDRY A., Anneaux noethériens à droite entiers sur un sous-anneau de leur centre, Com. in algebra, 6, 1978, 203–222.

    Article  MathSciNet  MATH  Google Scholar 

  7. CHAMARIE M. et MAURY G., Un théorème de l'idéal à gauche principal..., C.R. Acad. Sci. Paris, série A, 286, (1978), 609–611.

    MathSciNet  MATH  Google Scholar 

  8. CHATTERS A.W., HAJARNAVIS C.R., LENAGHAN T.H., Reduced rank in noetherian rings, J. of algebram, 61, 2, 582–589.

    Google Scholar 

  9. FOSSUM R., Maximal orders over a Krull domain, J. of Algebra, 10, 1968, 321–332.

    Article  MathSciNet  MATH  Google Scholar 

  10. JATEGAONKAR A.V., Relative Krull dimension and prime ideals in right noetherian rings, Com. in algebra 2, (1974), 429–458.

    Article  MathSciNet  MATH  Google Scholar 

  11. KOTHE G., Schiefkörper unendlichen Ranges über dem Zentrum, Math. Ann., 105, 1931, 15–39.

    Article  MathSciNet  MATH  Google Scholar 

  12. LESIEUR L. et CROISOT R., Théorie noethérienne des anneaux, des demi-groupes, des modules dans le cas non commutatif I, Colloque d'algèbre supérieure de Bruxelles, 1956, 79–121.

    Google Scholar 

  13. LESIEUR L. et CROISOT R., Théorie noethérienne des anneaux, des demi-groupes, des modules dans le cas non commutatif II, Math. Ann. 134, 1958, 458–476.

    Article  MathSciNet  MATH  Google Scholar 

  14. MARUBAYASHI H., Non kommutative Krull rings, Osaka J. Math., 12, 1975, 703–714.

    MathSciNet  MATH  Google Scholar 

  15. MAURY G., La condition intégralement clo dans quelques structures algébriques, Ann. Sc. Ec. Norm. Sup., 3ème série, 78, 1961, 31–100.

    MathSciNet  MATH  Google Scholar 

  16. MAURY G., Un théorème de l'idéal à gauche principal dans les R-ordres, Com. in algebra, 7, 1979, 677–687.

    Article  MathSciNet  MATH  Google Scholar 

  17. MAURY G. et RAYNAUD, J., Ordres maximaux au sens d'Asano. Lecture Notes in mathematics no808, 1980, 192 pages, Springer Verlag.

    Google Scholar 

  18. SHELTER W., Integral extensions of rings satisfying a polynomial identity, J. of algebra, 40, 1976, 245–257.

    Article  MathSciNet  Google Scholar 

  19. ZARISKI Q, SAMUEL P., Commutative algebra, Van Nostrand, Princeton, 1958, et 1960, Vol. I.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Départment de Mathématiques, Université Claude-Bernard-Lyon I, 43, boulevard du 11 novembre 1918, 69622, Villeurbanne, France

    Guy Maury

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  1. Guy Maury
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Marie-Paule Malliavin

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© 1982 Springer-Verlag

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Maury, G. (1982). Un theoreme de l'ideal a gauche principal dans certains anneaux. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 924. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092933

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  • DOI: https://doi.org/10.1007/BFb0092933

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11496-3

  • Online ISBN: 978-3-540-39188-3

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