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Polynomial fibre rings of algebras over noetherian rings

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References

  1. Asanuma, T.: On quasi-polynomial algebras. J. Pure Appl. Algebra26, 115–139 (1982)

    Google Scholar 

  2. Bass, H.: AlgebraicK-theory. New York: Benjamin 1968

    Google Scholar 

  3. Bass, H., Connel, E.H., Wright, D.L.: Locally polynomial algebras are symmetric algebras. Invent. math.38, 279–299 (1977)

    Google Scholar 

  4. Dicks, W.: Automorphisms of the polynomial rings in two variables. Publ. Secció Math. UAB.27, 155–161 (1983)

    Google Scholar 

  5. Eakin, P., Heinzer, W.: A cancellation problem for rings. In: Lecture notes in Math. Vol. 311, pp. 61–77. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  6. Greither C.: Zum Kürzungsproblem kommutativer Algebren. Algebra Berichte, Vol. 44. München: Reinhard Fischer 1983

    Google Scholar 

  7. Jung, H.W.E.: Über ganze birationale Transformationen der Ebene. J. Reine Angew. Math.184, 161–174, (1951)

    Google Scholar 

  8. Kambayashi, T.: On one-parameter family of affine planes. Invent. math.52, 275–281 (1979)

    Google Scholar 

  9. Kambayashi, T., Miyanishi, M.: On flat fibrations by the affine line. III. J. Math.22, 662–671 (1978)

    Google Scholar 

  10. van der Kulk, W.: On polynomial rings in two variables. Nieuw Arch. Wisk. III. Ser.1, 33–44 (1953)

    Google Scholar 

  11. Quillen, d.: Projective modules over polynomial rings. J. Algebra70, 316–338 (1981)

    Google Scholar 

  12. Sathaye, A.: Polynomial rings in two variables over a D.V.R.: A criterion. Invent. Math.74, 159–168 (1983)

    Google Scholar 

  13. Suslin, A.A.: Projective module over a polynomial ring are free. Sov. Math., Dokl.17, 585–595 (1976)

    Google Scholar 

  14. Waterhouse, W.: Polynomial group laws over valuation rings. III. J. Math.26, 252–256 (1982)

    Google Scholar 

  15. Weisfeiler, B., Dolgachev, I.V.: Unipotent group schemes over integral rings. (English translation) Izv. Akad. Nauk SSSR, Ser. Math. Tom.38, 757–799 (1974)

    Google Scholar 

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  1. Faculty of Education, Toyama University, Gofuku, 3190, Toyama-shi, 930, Japan

    Teruo Asanuma

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  1. Teruo Asanuma
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Supported by Grant-in-Aid for Encouragement of Young Scientist No. 59740020

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Asanuma, T. Polynomial fibre rings of algebras over noetherian rings. Invent Math 87, 101–127 (1987). https://doi.org/10.1007/BF01389155

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