Advertisement

Stable generation of modules

  • R. B. WarfieldJr.
Papers
Part of the Lecture Notes in Mathematics book series (LNM, volume 700)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    H. Bass, "K-theory and stable algebra," Pub. Math. I. H. E. S. 22 (1964), 5–60.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    D. Eisenbud and E. G. Evans, Jr., "Generating modules efficiently: theorems from algebraic K-theory," J. Alg. 27 (1973) 278–305.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    H. Fitting, "Uber den Zusammenhang zwischen dem Begriff der Gleichartigkeit zweier Ideale und dem Aquivalenzbegriff der Elementarteilertheorie," Math. Ann. 112 (1936), 572–582.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    K. R. Goodearl and R. B. Warfield, Jr., "Algebras over zero-dimensional rings," Math. Ann. 223 (1976), 157–168.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    R. Heitman, "Generating ideals in Prufer domains," Pac. J. Math. 62 (1976), 117–126.MathSciNetCrossRefGoogle Scholar
  6. [6]
    M. Henriksen, "On a class of regular rings which are elementary divisor rings," Archiv der Math. 24 (1973) 133–141.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [7]
    I. Kaplansky, "Elementary divisors and modules," Trans. Amer. Math. Soc. 66 (1949), 464–491.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [8]
    L. Levy and J. C. Robson, "Matrices and pairs of modules," J. Alg. 29 (1974), 103–121.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    J. T. Stafford, "Stable structure of non-commutative Noetherian rings," J. Alg. 47 (1977), 244–267.MathSciNetCrossRefzbMATHGoogle Scholar
  10. [10]
    J. T. Stafford, "Stable structure of non-commutative Noetherian rings, II," J. Alg. (to appear).Google Scholar
  11. [11]
    R. Swan, "The number of generators of a module," Math. Zeit. 102 (1967), 318–322.MathSciNetCrossRefzbMATHGoogle Scholar
  12. [12]
    R. B. Warfield, Jr., "Cancellation of modules and groups and stable range of endomorphism rings," (to appear).Google Scholar
  13. [13]
    R. B. Warfield, Jr., "Stable Equivalence of Matrices and Resolutions," Comm. Alg. (to appear, 1978).Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • R. B. WarfieldJr.
    • 1
  1. 1.University of WashingtonSeattle

Personalised recommendations