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Die Betti-Reihe und die Abweichungen eines lokalen Rings

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Literatur

  1. Assmus, E. F., Jr.: On the homology of local rings. Illinois J. Math.3, 187–199 (1959).

    Google Scholar 

  2. Cartan, H.: Sur les Groupes d'Eilenberg-MacLaneH (Π, n): I. Méthode des Constructions. Proc. Nat. Acad. Sci.40, 467–471 (1954).

    Google Scholar 

  3. Chevalley, C.: Fundamental concepts of algebra. New York: Academic Press 1956.

    Google Scholar 

  4. Eilenberg, S., MacLane, S.: On the groupsH (Π, n) I. Ann. of Math.58, 55–106 (1953).

    Google Scholar 

  5. Gulliksen, T. H. A proof of the existence of minimalR-algebra resolutions Acta math.120, 53–58 (1968)

    Google Scholar 

  6. — A note on the Poincaré series of a local ring. J. Algebra13, 242–245 (1969).

    Google Scholar 

  7. —: Homological invariants of rings. Notices Amer. Math. Soc.16, 532 (1969).

    Google Scholar 

  8. MacLane, S.: Homology. Berlin-Göttingen-Heidelberg: Springer 1963.

    Google Scholar 

  9. Nagata, M.: Local rings. New York: Interscience 1962.

    Google Scholar 

  10. Northcott, D. G. Lessons on rings, modules and multiplicities. Cambridge: University Press 1968.

    Google Scholar 

  11. Sakuma, M., Okuyama, H.: Correction to “On the Betti series of local rings”. J. Math. Tokushima Univ.2, 31–32 (1968).

    Google Scholar 

  12. Scheja, G.: Über die Bettizahlen lokaler Ringe. Math. Ann.155, 155–172 (1964).

    Google Scholar 

  13. Serre, J.-P.: Sur la dimension homologique des anneaux et des modules noethériens. Proc. Int. Symp. on Algebraic Number Theory, Tokyo 175–189 (1956).

  14. —: Algèbre Locale. Multiplicités. Rédigé par P. Gabriel. Lecture notes in mathematics. Berlin-Heidelberg-New York: Springer 1965.

    Google Scholar 

  15. Shamash, J.: The Poincaré series of a local ring. J. Algebra12, 453–470 (1969).

    Google Scholar 

  16. Tate, J.: Homology of Noetherian rings and local rings Illinois J. Math.1, 14–27 (1957).

    Google Scholar 

  17. Uehara, H.: Homological invariants of local rings. Nagoya Math. J.22, 219–227 (1963).

    Google Scholar 

  18. Wiebe, H.: Über homologische Invarianten lokaler Ringe. Math. Ann.179, 257–274 (1969).

    Google Scholar 

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  1. Mathematisches Institut der Universität München, Schellingstraße 2-8, 8, München 13

    Klaus Wolffhardt

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  1. Klaus Wolffhardt
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Wolffhardt, K. Die Betti-Reihe und die Abweichungen eines lokalen Rings. Math Z 114, 66–78 (1970). https://doi.org/10.1007/BF01111870

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