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Zur endlichen Homologischen Dimension von Differentialmoduln

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Abstract

It will be shown that for a reduced separable analytic k-algebra A, with k being a field, a necessary condition for the finite differential module of A to have finite homological dimension is that the canonical module of A is free. This generalizes a result of T. Matsuoka and Y. Aoyama concerning almost complete intersections. In case that A is a normal domain and smooth in codimension ≤1 an analogous statement can be made for the module of derivations and the module of Zariski differentials of A.

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Authors and Affiliations

  1. -Abt. Vechta, Fachbereich 3 der Universität Osnabrück, Driverstr. 22, D-2848, Vechta, Bundesrepublik Deutschland

    Erich Platte

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  1. Erich Platte
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Platte, E. Zur endlichen Homologischen Dimension von Differentialmoduln. Manuscripta Math 32, 295–302 (1980). https://doi.org/10.1007/BF01299606

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