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Zur Längenberechnung der Torsion äusserer Potenzen (1975)

Bruns, Winfried ; Vetter, Udo

Springer

Manuscripta mathematica 14 (1975), S. 337-348

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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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