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