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Communications in Algebra Volume 32, 2004 - Issue 7
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Original Articles

Power Linear Keller Maps of Nilpotency Index Two

Charles Ching-An Cheng Department of Mathematics and Statistics, Oakland University, Rochester, Michigan, USA
&
Takis Sakkalis Department of Mathematics, Agricultural University of Athens, Athens, Greece; Department of Mathematics, Agricultural University of Athens, 75 Iera Odos., Athens, 118 55, GreeceCorrespondence[email protected]
Pages 2635-2637 | Received 01 Dec 2002, Published online: 18 Aug 2006

References

  • Bass , H. , Connell , E. and Wright , D. 1982 . The Jacobian conjecture: Reduction of degree and formal expansion of the inverse . Bull. Amer. Math. Soc. , 7 : 287 – 330 .
  • Cheng , C. C. , Sakkalis , T. and Wang , S. S.-S. 1983 . A case of the Jacobian conjecture . J. Pure Appl. Algebra , 96 : 303 – 313 .
  • Meisters , G. H. and Olech , C. 1991 . Strong nilpotence holds in dimensions up to five only . Linear Algebra Appl. , 30 : 231 – 255 .
  • van den Essen , A. R. P. 2000 . Polynomial Automorphisms and the Jacobian Conjecture , Progress in Mathematics, 190 Basel : Birkhäuser Verlag .
  • van den Essen , A. R. P. and Hubbers , E.-M. G. M. 1996 . Polynomial maps with strongly nilopotent Jacobian matrix and the Jacobian conjecture . Linear Algebra Appl. , 247 : 121 – 132 . [CROSSREF]
  • Wright , D. 1993 . The Jacobian conjecture: Linear triangularization for cubics in dimension three . Linear and Multilinear Algebra , 34 : 85 – 97 .
  • Wu , X. L. 1988 . A case of the Jacobian conjecture . Acta Math. Sinica (N.S.) , 4 : 309 – 315 .
  • #Communicated by I. Swanson.

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