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A cancellation problem for rings

Part of the Lecture Notes in Mathematics book series (LNM,volume 311)

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References

  1. S. Abhyankar, On the valuations centered on a local domain, Amer. J. Math. 78(1955) 321–348.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. S. Abhyankar, P. Eakin and W. Heinzer, On the uniqueness of the ring of coefficients in a polynomial ring, to appear J. Algebra.

    Google Scholar 

  3. H. Bass, K—theory and stable algebra, IHES Publications Mathematiques 22(1964) 5–58.

    Google Scholar 

  4. J. Brewer and E. Rutter, Isomorphic polynomial rings, to appear Archiv der Math.

    Google Scholar 

  5. C. Chevelley, Fundemental Concepts of Algebra, Academic Press, New York (1956).

    Google Scholar 

  6. D. Coleman and E. Enochs, Polynomial invariance of rings, Proc. AMS 27(1971) 247–262.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. P. Eakin and K.K. Kubota, A note on the uniqueness of rings of coefficients in polynomial rings, Proc. AMS 23(1972) 333–341.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. P. Eakin and W. Heinzer, Some Dedekind domains with specified class group and more non euclidian PID's, to appear.

    Google Scholar 

  9. P. Eakin and J. Silver, Rings which are almost polynomial rings, to appear Trans. AMS.

    Google Scholar 

  10. M. Hochster, Non-uniqueness of the ring of coefficients in a polynomial ring, to appear Proc. AMS.

    Google Scholar 

  11. I. Kaplansky, Modules over Dedekind rings and valuation rings, Trans. AMS 72(1952) 372–340.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. M. Nagata, Local Rings, Interscience, New York (1962).

    MATH  Google Scholar 

  13. M. Nagata, A theorem on valuation rings and its applications, Nagoya Math J. 29(1967) 85–91.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. M. O'Malley, Power invariance of rings, to appear.

    Google Scholar 

  15. C.P. Ramanujam, A topological characterization of the affine plane as an algebraic variety, Annals of Math. 94(1971) 69–88.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. W. Vasconcelos, On finitely generated flat modules, Trans. AMS 138(1969) 505–512.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1973 Springer-Verlag

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Eakin, P., Heinzer, W. (1973). A cancellation problem for rings. In: Brewer, J.W., Rutter, E.A. (eds) Conference on Commutative Algebra. Lecture Notes in Mathematics, vol 311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068920

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  • DOI: https://doi.org/10.1007/BFb0068920

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06140-3

  • Online ISBN: 978-3-540-38340-6

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