Skip to main content
SpringerLink
Log in

Rank functions and state spaces of K0

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

While the formulations of localization rank and stably free rank are given, the characterizations of elements are obtained for a class of VN regular ring. For a ring R, the characters of some properties of K0R are also given in terms of the state space of K0.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Cohn, P. M., Rank functions on rings, J. Alg., 1990, 133: 373.

    Article  MATH  Google Scholar 

  2. Goodearl, K. R., Von Neumann Regular Rings, London: Pitman, 1979.

    MATH  Google Scholar 

  3. Bass, H., Algebraic K-theory, New York: Benjamin, 1968.

    MATH  Google Scholar 

  4. Silvester, J. R., Introduction to Algebraic K-Theory, London: Chapman and Hall, 1981.

    MATH  Google Scholar 

  5. Zhu, X. S., Tong, W. T., The category of power stably free modules and its K0 group, Science in China (in Chinese), Ser. A, 1997, 27(9): 812.

    Google Scholar 

  6. Cohn, P.M., Schofield, A. H., On the law of nullity, Math. Proc. Cambridge Philos. Soc, 1982, 91: 357.

    MATH  MathSciNet  Google Scholar 

  7. Cohn, P. M., An invariant characterization of pseudo-valuations on a field, Proc. Cambridge Philos Soc., 1954, 50: 159.

    Article  MATH  MathSciNet  Google Scholar 

  8. Goodearl, K. R., State space of K0 of noetherian rings, J, Alg., 1981, 71: 322.

    Article  MATH  MathSciNet  Google Scholar 

  9. Goodearl, K. R., K-theoretically simple Von Neumann regular rings, J. Alg., 1995, 174: 659.

    Article  MATH  MathSciNet  Google Scholar 

  10. Kaplansky, I., Projective modules, Math. Ann., 1958, 68: 372.

    Article  MathSciNet  Google Scholar 

  11. Tong, W. T., PF-rings and the Grothendieck groups of groups rings, J. of Math. Res. and Exposition(in Chinese), 1990, 10(2): 157.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and System Science, National University of Defense Technology, 410073, Changsha, China

    Lianggui Feng

  2. Department of Applied Mathematics, South China University of Technology, 510641, Guangzhou, China

    Zhifeng Hao

Authors
  1. Lianggui Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhifeng Hao
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feng, L., Hao, Z. Rank functions and state spaces of K0 . Sci. China Ser. A-Math. 44, 351–356 (2001). https://doi.org/10.1007/BF02878716

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02878716

Keywords

Search

Navigation