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Stable generation of modules

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Module Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 700))

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References

  1. H. Bass, "K-theory and stable algebra," Pub. Math. I. H. E. S. 22 (1964), 5–60.

    Article  MathSciNet  MATH  Google Scholar 

  2. D. Eisenbud and E. G. Evans, Jr., "Generating modules efficiently: theorems from algebraic K-theory," J. Alg. 27 (1973) 278–305.

    Article  MathSciNet  MATH  Google Scholar 

  3. H. Fitting, "Uber den Zusammenhang zwischen dem Begriff der Gleichartigkeit zweier Ideale und dem Aquivalenzbegriff der Elementarteilertheorie," Math. Ann. 112 (1936), 572–582.

    Article  MathSciNet  MATH  Google Scholar 

  4. K. R. Goodearl and R. B. Warfield, Jr., "Algebras over zero-dimensional rings," Math. Ann. 223 (1976), 157–168.

    Article  MathSciNet  MATH  Google Scholar 

  5. R. Heitman, "Generating ideals in Prufer domains," Pac. J. Math. 62 (1976), 117–126.

    Article  MathSciNet  Google Scholar 

  6. M. Henriksen, "On a class of regular rings which are elementary divisor rings," Archiv der Math. 24 (1973) 133–141.

    Article  MathSciNet  MATH  Google Scholar 

  7. I. Kaplansky, "Elementary divisors and modules," Trans. Amer. Math. Soc. 66 (1949), 464–491.

    Article  MathSciNet  MATH  Google Scholar 

  8. L. Levy and J. C. Robson, "Matrices and pairs of modules," J. Alg. 29 (1974), 103–121.

    Article  MathSciNet  MATH  Google Scholar 

  9. J. T. Stafford, "Stable structure of non-commutative Noetherian rings," J. Alg. 47 (1977), 244–267.

    Article  MathSciNet  MATH  Google Scholar 

  10. J. T. Stafford, "Stable structure of non-commutative Noetherian rings, II," J. Alg. (to appear).

    Google Scholar 

  11. R. Swan, "The number of generators of a module," Math. Zeit. 102 (1967), 318–322.

    Article  MathSciNet  MATH  Google Scholar 

  12. R. B. Warfield, Jr., "Cancellation of modules and groups and stable range of endomorphism rings," (to appear).

    Google Scholar 

  13. R. B. Warfield, Jr., "Stable Equivalence of Matrices and Resolutions," Comm. Alg. (to appear, 1978).

    Google Scholar 

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Carl Faith Sylvia Wiegand

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© 1979 Springer-Verlag

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Warfield, R.B. (1979). Stable generation of modules. In: Faith, C., Wiegand, S. (eds) Module Theory. Lecture Notes in Mathematics, vol 700. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063457

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  • DOI: https://doi.org/10.1007/BFb0063457

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09107-3

  • Online ISBN: 978-3-540-35538-0

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