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  • 1
    Electronic Resource
    Electronic Resource
    Zur Längenberechnung der Torsion äusserer Potenzen (1975)
    Springer
    Manuscripta mathematica 14 (1975), S. 337-348 
    Details
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01169265
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  • 2
    Electronic Resource
    Electronic Resource
    Die Verallgemeinerung eines Satzes von Bourbaki und einige Anwendungen (1975)
    Springer
    Manuscripta mathematica 17 (1975), S. 317-325 
    Details
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We generalize a theorem of Bourbaki: Let R be a noetherian ring and M a finitely generated torsionfree R-module with rank r. Assume further M to be free for all ∈ Spec R with depth ⩽ 1. Then there exists a free submodule F in M such that M/F is isomorphic to an ideal in R. There are some applications due to E.G.Evans,Jr. and M. Auslander, concerning the group Ko (R) resp. reflexive R-modules and - in case R is Gorenstein - R-modules of finite length.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01170728
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    Paper (German National Licenses)
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