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Original Articles

Simple reasons why injective polynomial endomorphisms are automorphisms

Pages 623-630 | Received 01 May 1996, Published online: 13 Oct 2008

References

  • Adjamagbo , K. 1994 . On Locally Invertible Systems of polynomials . Journal of Algebra , 168 ( 1 ) : 28 – 34 .
  • Adjamagbo , K. 1996 . Sur les morphismes injectifs et les isomorphismes des variétes algébriques affines . Communications in Algebra , 24 ( 3 ) : 1117 – 1123 .
  • Adjamagbo , K. 1995 . Sur les endomorphismes injectifs et les automorphismes des schémas . Publications Mathématiques de l'Université Pierre et Marie Curie , 112
  • Ax , J. 1969 . A metamathematical approach to some problems in number theory . Proc. Symp. Pure Math. , 20 : 161 – 190 . AMS 1971
  • Bass , H. June 15-July 2 1989 . “ Differential Structure of Etale Extensions of Polynomial Algebras ” . In in Commutative Algebra , Edited by: Hochster , M. , Huneke , C. and Sally , J. D. June 15-July 2 , New-york : Springer-Verlag . Proceedings of a Microprogram Hold 1987
  • Bochnak , J. , Coste , M. and Roy , M.-F. 1987 . Géométrie algébrique réelle , Berlin : Springer .
  • Bialynicki ‐ Birula , A. and Rosenlicht , M. 1962 . Injective morphisms of real algebraic varieties . Proc. AMS , 13 : 200 – 203 .
  • Cynk , S. and Rusek , K. 1991 . Injective endomorphisms of algebraic and analytic sets . Ann. Polon. Math , 56 : 29 – 35 .
  • Dieudonne , J. 1969 . Foundations of Modern Analysis , New York : Academic Press .
  • Hartshorne , R. 1977 . “ Algebraic Geometry ” . In GTM 52 , Springer‐Verlag .
  • Iitaka , S. 1982 . “ Algebraic Geometry ” . In An Introduction to Birational Geometry of Algebraic Varieties, GTM 76 , Springer‐Verlag .
  • Kang , M. C. 1993 . Injective morphisms of afflne varieties . Proc. AMS 119 , 1 : 1 – 4 .
  • Lang , S. 1978 . Algebra , Addison‐Wesley . 8th Printing
  • Malliavin , M. -P. 1985 . “ Algèbre Commutative ” . Paris : Masson .
  • Mumford , D. 1988 . “ The Red Book of Varieties and Schemes ” . In LNM 1358 , Springer‐Verlag .
  • Nowak , K. J. 1994 . Injective endomorphisms of algebraic varieties . Math. Ann.299 , : 769 – 778 .
  • Rosay , J.-P. 1982 . Injective holomorphic mappings . Amer. Math. Monthly , 89 : 587 – 588 .
  • Rudin , W. 1995 . Injective Polynomial Maps are Automorphisms . Amer. Math. Monthly , 102 : 540 – 543 .
  • Rusek , K. May 1989 . “ Polynomial Automorphisms ” . In Institute of Mathematics , May , Warsaw, , Poland : Polish Academy of Sciences . Preprint 456 IMPAM
  • Springer , T. A. 1981 . “ Linear algebraic groups ” . In Progress in Math , Vol. 9 , Boston : Birkhauser .

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