Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar)
Krause H (2008)
Mathematische Annalen 340(4): 733-747.
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Einrichtung
Abstract / Bemerkung
For a commutative noetherian ring A, we compare the support of a complex of A-modules with the support of its cohomology. This leads to a classification of all full subcategories of A-modules which are thick (that is, closed under taking kernels, cokernels, and extensions) and closed under taking arbitrary direct sums. In addition, subcategories of A-modules that are closed under taking submodules, extensions, and direct unions are classified via associated prime ideals.
Erscheinungsjahr
2008
Zeitschriftentitel
Mathematische Annalen
Band
340
Ausgabe
4
Seite(n)
733-747
ISSN
0025-5831
eISSN
1432-1807
Page URI
https://pub.uni-bielefeld.de/record/2980480
Zitieren
Krause H. Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar). Mathematische Annalen. 2008;340(4):733-747.
Krause, H. (2008). Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar). Mathematische Annalen, 340(4), 733-747. https://doi.org/10.1007/s00208-007-0166-3
Krause, Henning. 2008. “Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar)”. Mathematische Annalen 340 (4): 733-747.
Krause, H. (2008). Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar). Mathematische Annalen 340, 733-747.
Krause, H., 2008. Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar). Mathematische Annalen, 340(4), p 733-747.
H. Krause, “Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar)”, Mathematische Annalen, vol. 340, 2008, pp. 733-747.
Krause, H.: Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar). Mathematische Annalen. 340, 733-747 (2008).
Krause, Henning. “Thick subcategories of modules over commutative noetherian rings (with an appendix by Srikanth Iyengar)”. Mathematische Annalen 340.4 (2008): 733-747.
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