Skip to main content

Classical algebraic K-theory of monid algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 1437)

Keywords

  • Convex Subset
  • Invertible Element
  • Finite Rank
  • Regular Ring
  • Internal Point

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anderson D.D., Anderson D.F., Divisorial ideals in a graded integral domain, J. of Algebra 76, 549–569, 1982.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Anderson D.F., Projective modules over subrings of k[X,Y] generated by monomials, Pacific J. Math. 79, 5–17, 1978.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Anderson D.F., The picard group of a monoid domain, J. of Algebra 115, 342–531, 1988.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Bass H., Algebraic K-theory, New York, W.A. Benjamin, 1968.

    MATH  Google Scholar 

  5. Bass H., Some problems in "classical" algebraic K-theory, Lecture Notes in Math. 342, New York, Springer Verlag, 3–73, 1973.

    MATH  Google Scholar 

  6. Bass H., Introduction to some methods of algebraic K-theory, Reg. Conf. Ser. in Math. No 20, Rhode Island, 1974.

    Google Scholar 

  7. Bass H., Heller A., Swan R.G., The Whitehead group of a polynomial extension, Publ. Math. I. H. E. S. 22, 61–80, 1964.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Chouinard L.G., Krull semigroups and divisor class groups, Canad. J. Math. 33, 1459–1468, 1981.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Chouinard L.G., Projective modules over Krull semigroups, Michigan Math. J. 29, 143–148, 1982.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Danilov V.I., Geometry of toric varieties, Uspeckhi Mat. Nauk 33, 85–134, 1978 (Russian).

    MathSciNet  MATH  Google Scholar 

  11. Gilmer R., Commutative semigroup rings, Chicago Lectures in Math., Chicago U.P., 1984.

    Google Scholar 

  12. Gubeladze J., Anderson's conjecture and maximal class of monoids over which projective modules are free, Matematicheski Sbornik 135 (177), 169–185, 1988 (Russian).

    MathSciNet  MATH  Google Scholar 

  13. Gubeladze J., On "classical" algebraic K-theory of monoid algebras, Bull. of the Academy of Sc. of the Georgian SSR 130, 469–471 (Russian), 1988.

    MathSciNet  MATH  Google Scholar 

  14. Knus M.A., Ojanguren M., A Mayer — Vietoris sequence for the Brauer group, J. Pure and Appl. Algebra 5, 345–360, 1974.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Milnor J., Introduction to algebraic K-theory, Annals of Math. Studies no. 72, Princeton U.P., 1971.

    Google Scholar 

  16. Quillen D., Projective modules over polynomial rings, Invent. Math. 36, 167–171, 1976.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. Srinivas V., K1 of the cone over a curve, J. Reine Angew. Math. 381, 37–50, 1987.

    MathSciNet  MATH  Google Scholar 

  18. Suslin A.A. Projective modules over polynomial rings are free, Dokl. Akad. Nauk. 229, 221–238, 1976.

    MathSciNet  MATH  Google Scholar 

  19. Suslin A.A. On the structure of the special linear group over polynomial rings, Math. USSR Izvestija, 11, 221–238, 1977.

    CrossRef  MATH  Google Scholar 

  20. Swan R.G., On seminorality, J. of Algebra 67, 210–229, 1980.

    CrossRef  MathSciNet  Google Scholar 

  21. Vorst T., A survey on the K-theory of polynomial extensions, Lecture Notes in Math. 1046, Berlin, Springer Verlag 422–441.

    Google Scholar 

  22. Vorst T., Localization of the K-theory of polynomial extensions, Math. Ann., 244, No. 1, 33–53, 1979.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1990 Springer-Verlag

About this chapter

Cite this chapter

Gubeladze, J. (1990). Classical algebraic K-theory of monid algebras. In: Inassaridze, H. (eds) K-theory and Homological Algebra. Lecture Notes in Mathematics, vol 1437. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086718

Download citation

  • DOI: https://doi.org/10.1007/BFb0086718

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52836-4

  • Online ISBN: 978-3-540-47162-2

  • eBook Packages: Springer Book Archive