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Séminaire d’Algèbre Paul Dubreil et Marie-Paul Malliavin pp 137–173Cite as

The Auslander condition on noetherian rings

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References

  1. Awami, A., Oystaeyen F., On filtered rings with noetherian associated graded rings, Ring Theory, (J.L. Buesco, P. Jara, B. Torrecillas, ed.). Lecture notes in Math. 1328, p. 8–27, Springer Verlag (1988).

    Google Scholar 

  2. Bass, H., On the ubiquity of Gorenstein rings. Math. Z. 82, p. 8–28 (1963).

    Article  MathSciNet  MATH  Google Scholar 

  3. Björk, J.-E., Rings of differential operators. North Holland. Math. Lib. Ser. 21 (1979).

    Google Scholar 

  4. Björk, J.-E., Noetherian rings and their applications. Math. Surveys and monographs. No 24. Amer. Math. Soc., p. 59–98 (1987).

    Google Scholar 

  5. Ekström, E.-K., The Auslander condition on graded and filtered Noetherian rings. (This proceedings).

    Google Scholar 

  6. Cartan, H., Eilenberg, S., Homological algebra. Princeton University Press (1956).

    Google Scholar 

  7. Fossum, R., Foxby, H.-B., The category of graded modules, Math. Scand (1974) vol. 35, 288–300.

    Article  MathSciNet  MATH  Google Scholar 

  8. Fossum, R., Griffith, P., Reiten, I., Trivial extensions of Abelian categories. Lecture notes in math. 456, Springer Verlag (1975).

    Google Scholar 

  9. Ginsburg, V., Characteristic varieties and vanishing cycles. Inv. Math. (1986) 84 p. 327–402.

    Article  MathSciNet  MATH  Google Scholar 

  10. Kashiwara, M., B-functions and holonomic systems. Inventiones Math. 38 (1976).

    Google Scholar 

  11. Kashiwara, M., Systems of microdifferential equations. Progress in Math. 34, Birkhäuser (1983).

    Google Scholar 

  12. Laurent, V., Schapira, P., Images inverses des modules différentiels. Compositio Math., vol. 61, (1987), 229–251.

    MathSciNet  MATH  Google Scholar 

  13. Levasseur, T., Grade des modules sur certains anneaux filtrés. Communications in Alg. 9, p. 1519–1532 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  14. Levasseur, T., Complexe bidulaisant en algèbre non commutative. Sém. Dubreil-Mallivain. Lecture Notes in Math. 1146, p. 270–287. Springer Verlag (1983–84).

    Article  MathSciNet  Google Scholar 

  15. Levasseur, T., Anneau d'opérateurs différentiels. Sém. Dubreil-Malliavin. Lecture Notes in Math. 867, p. 157–173 (1980).

    Article  MathSciNet  Google Scholar 

  16. Matijevic, J.R., Thesis. Chicago Univ. (1973).

    Google Scholar 

  17. McConnell, J.C., Robson, J.C., Noncommutative noetherian rings. Wiley series in pure and appl. math. (1987).

    Google Scholar 

  18. NĂstĂsescu, C., Van Oystaeyen, F., Graded ring theory. North Holland Math. Library 28 (1982).

    Google Scholar 

  19. Reiten, I., Trivial extensions and Gorenstein rings. Thesis. Chicago Univ. (1971).

    Google Scholar 

  20. Roos, J.-E., Bidualité et structure des foncteurs dérivés de lim dans la catégorie des modules sur un anneau régulier. C.R. Acad. Sci. Paris 254 (1962).

    Google Scholar 

  21. Roos, J.-E., Compléments à l'étude des quotients primitifs des algèbres enveloppantes des algèbres de Lie semi-simples. C.R. Acad. Sci. Paris 276 p. 447–450 (1973).

    MATH  Google Scholar 

  22. Schapira, P., Microdifferential systems in the complex domain. Springer Verlag (1985).

    Google Scholar 

  23. Sato, M., Kashiwara, M., Kawai, T. Microfunctions and pseudo-differential operators. Lecture Notes in Math. 287 Springer Verlag (1973).

    Google Scholar 

  24. Zaks, A., Injective dimension of semi-primary rings. J. of algebra 13 p.73–86 (1969).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Stockholm, Box 6701, 11385, Stockholm, Sweden

    Jan-Erik Björk

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  1. Jan-Erik Björk
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Marie-Paule Malliavin

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© 1989 Springer-Verlag

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Björk, JE. (1989). The Auslander condition on noetherian rings. In: Malliavin, MP. (eds) Séminaire d’Algèbre Paul Dubreil et Marie-Paul Malliavin. Lecture Notes in Mathematics, vol 1404. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084075

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  • DOI: https://doi.org/10.1007/BFb0084075

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51812-9

  • Online ISBN: 978-3-540-46814-1

  • eBook Packages: Springer Book Archive

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