Skip to main content

Complexity and Krull Dimension

  • Conference paper
  • First Online:
Representations of Algebras

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 903))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. L. Alperin, Periodicity in Groups, Illinois J. Math. 21(1977), 776–783.

    MathSciNet  MATH  Google Scholar 

  2. J. L. Alperin and L. Evens, Representations, resolutions and Quillen's dimension theorem, (to appear).

    Google Scholar 

  3. H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, Princeton, 1956.

    MATH  Google Scholar 

  4. L. Evens, The cohomology ring of a finite group, Trans. Amer. Math. Soc. 101(1961), 224–239.

    Article  MathSciNet  MATH  Google Scholar 

  5. G. Hochschild and J.-P. Serre, Cohomology of group extensions, Trans. Amer. Math. Soc. 74(1953), 110–134.

    Article  MathSciNet  MATH  Google Scholar 

  6. S. Mac Lane, Homology, Springer, New York, 1963.

    Book  MATH  Google Scholar 

  7. M. Nagata, Local Rings, Interscience, New York, 1962.

    MATH  Google Scholar 

  8. D. Quillen, The spectrum of an Equivariant cohomology ring I, II, Ann. Math. 94(1971), 549–602.

    Article  MathSciNet  MATH  Google Scholar 

  9. D. Quillen and B. B. Venkov, Cohomology of finite groups and elementary abelian subgroups, Topology 11(1972), 317–318.

    Article  MathSciNet  MATH  Google Scholar 

  10. J.-P. Serre, Sur la dimension cohomologique des groupes profinis, Topology 3(1965), 413–420.

    Article  MathSciNet  MATH  Google Scholar 

  11. O. Zariski and P. Samuel, Commutative Algebra II, Van Nostrand, Princeton, 1960. *** DIRECT SUPPORT *** A00J4377 00003

    Book  MATH  Google Scholar 

Download references

Authors

Editor information

Maurice Auslander Emilo Lluis

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Carlson, J.F. (1981). Complexity and Krull Dimension. In: Auslander, M., Lluis, E. (eds) Representations of Algebras. Lecture Notes in Mathematics, vol 903. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092985

Download citation

  • DOI: https://doi.org/10.1007/BFb0092985

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11179-5

  • Online ISBN: 978-3-540-38963-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics