ArticleOriginal scientific text

Title

On the formal inverse of polynomial endomorphisms

Authors 1

Affiliations

  1. Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Keywords

rooted trees, Jacobian Conjecture, polynomial automorphisms

Bibliography

  1. H. Bass, E. H. Connell and D. Wright, The Jacobian conjecture: Reduction of degree and formal expansion of the inverse, Bull. Amer. Math. Soc. (N.S.) 7 (1982), 287-330.
  2. L. M. Drużkowski and K. Rusek, The formal inverse and the Jacobian conjecture, Ann. Polon. Math. 46 (1985), 85-90.
  3. G. Gorni and G. Zampieri, Yagzhev polynomial mappings: on the structure of the Taylor expansion of their local inverse, Ann. Polon. Math. 64 (1996), 285-290.
  4. P. Ossowski, A counterexample to a conjecture of Bass, Connell and Wright, Colloq. Math. 77 (1998), 315-320.
  5. V. L. Popov and E. B. Vinberg, Invariant theory, in: Algebraic Geometry IV, Encyclopaedia Math. Sci. 55, Springer, 1994, 123-278.
  6. C. E. Praeger and P. Schultz, On the automorphisms of rooted trees with height distributions, in: Combinatorial Mathematics X (Adelaide, 1982), Lecture Notes in Math. 1036, Springer, 1983, 319-334.
  7. R. P. Stanley, Enumerative Combinatorics, Vol. 1, Cambridge Stud. Adv. Math. 49, Cambridge Univ. Press, 1997.
  8. D. Wright, Formal inverse expansion and the Jacobian conjecture, J. Pure Appl. Algebra 48 (1987), 199-219.
  9. A. V. Yagzhev, On Keller's problem, Sibirsk. Mat. Zh. 21 (1980), no. 5, 141-150 (in Russian).
Pages:
97-104
Main language of publication
English
Received
1998-01-30
Published
1998
Exact and natural sciences