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Zur Längenberechnung der Torsion äusserer Potenzen

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Abstract

Let R be a noetherian ring of dimension d and M a finitely generated R-module of homologic dimension less or equal to one. Assume further that M has a rank r, which equals d or (in case d>0) d−1 and that the r-th Fitting-ideal\(\vartheta _r (M)\)of M has grade ⩾d. Then the torsion-submodule of the d-th exterior power of M and the module\(R/\vartheta _r (M)\)are equivalent.

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Authors and Affiliations

  1. Institut für Mathematik der Technischen Universität, Erzstr. 1, D-3392, Clausthal-Zellerfeld

    Winfried Bruns & Udo Vetter

Authors
  1. Winfried Bruns
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  2. Udo Vetter
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Bruns, W., Vetter, U. Zur Längenberechnung der Torsion äusserer Potenzen. Manuscripta Math 14, 337–348 (1975). https://doi.org/10.1007/BF01169265

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  • DOI: https://doi.org/10.1007/BF01169265

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