Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-13T07:28:52.521Z Has data issue: false hasContentIssue false

A NOETHER–DEURING THEOREM FOR DERIVED CATEGORIES

Published online by Cambridge University Press:  30 March 2012

ALEXANDER ZIMMERMANN*
Affiliation:
Université de Picardie, Département de Mathématiques et LAMFA (UMR 7352 du CNRS), 33 rue St Leu, F-80039 Amiens Cedex 1, France e-mail: alexander.zimmermann@u-picardie.fr
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove a Noether–Deuring theorem for the derived category of bounded complexes of modules over a Noetherian algebra.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

REFERENCES

1.Benson, D., Representations and Cohomology I (Cambridge University Press, Cambridge, 1997).Google Scholar
2.Eisenbud, D., Commutative algebra, with a view toward algebraic geometry (Springer, New York, 2004).Google Scholar
3.Jensen, B. T., Su, X. and Zimmermann, A., Degenerations for derived categories, J. Pure Appl. Algebra. 198 (2005), 281–295CrossRefGoogle Scholar
4.Lang, S., Algebra (Addison-Wesley, Menlo Park California, 1993).Google Scholar
5.Roggenkamp, K. W., An extension of the Noether–Deuring theorem, Proc. Am. Math. Soc. 31 (1972), 423426.CrossRefGoogle Scholar
6.Verdier, J.-L., Des catégories dérivées des catégories abéliennes, Astérisque. 239 (1996).Google Scholar