Jacobian conjecture (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Jacobian conjecture" in English language version.

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  • Keller, Ott-Heinrich (1939), "Ganze Cremona-Transformationen", Monatshefte für Mathematik und Physik, 47 (1): 299–306, doi:10.1007/BF01695502, ISSN 0026-9255
  • Adjamagbo, Kossivi (1995), "On separable algebras over a U.F.D. and the Jacobian conjecture in any characteristic", Automorphisms of affine spaces (Curaçao, 1994), Dordrecht: Kluwer Acad. Publ., pp. 89–103, doi:10.1007/978-94-015-8555-2_5, ISBN 978-90-481-4566-9, MR 1352692
  • Wang, Stuart Sui-Sheng (August 1980), "A Jacobian criterion for separability", Journal of Algebra, 65 (2): 453–494, doi:10.1016/0021-8693(80)90233-1
  • Bass, Hyman; Connell, Edwin H.; Wright, David (1982), "The Jacobian conjecture: reduction of degree and formal expansion of the inverse", Bulletin of the American Mathematical Society, New Series, 7 (2): 287–330, doi:10.1090/S0273-0979-1982-15032-7, ISSN 1088-9485, MR 0663785
  • Drużkowski, Ludwik M. (1983), "An effective approach to Keller's Jacobian conjecture", Mathematische Annalen, 264 (3): 303–313, doi:10.1007/bf01459126, MR 0714105
  • Connell, Edwin; van den Dries, Lou (1983), "Injective polynomial maps and the Jacobian conjecture", Journal of Pure and Applied Algebra, 28 (3): 235–239, doi:10.1016/0022-4049(83)90094-4, MR 0701351
  • Campbell, L. Andrew (1973), "A condition for a polynomial map to be invertible", Mathematische Annalen, 205 (3): 243–248, doi:10.1007/bf01349234, MR 0324062
  • Razar, Michael (1979), "Polynomial maps with constant Jacobian", Israel Journal of Mathematics, 32 (2–3): 97–106, doi:10.1007/bf02764906, MR 0531253
  • Wright, David (1981), "On the Jacobian conjecture", Illinois Journal of Mathematics, 25 (3): 423–440, doi:10.1215/ijm/1256047158, MR 0620428
  • Moh, Tzuong-Tsieng (1983), "On the Jacobian conjecture and the configurations of roots", Journal für die reine und angewandte Mathematik, 1983 (340): 140–212, doi:10.1515/crll.1983.340.140, ISSN 0075-4102, MR 0691964, S2CID 116143599
  • de Bondt, Michiel; van den Essen, Arno (2005), "A reduction of the Jacobian conjecture to the symmetric case", Proceedings of the American Mathematical Society, 133 (8): 2201–2205, doi:10.1090/S0002-9939-05-07570-2, hdl:2066/33302, MR 2138860
  • de Bondt, Michiel; van den Essen, Arno (2005), "The Jacobian conjecture for symmetric Drużkowski mappings", Annales Polonici Mathematici, 86 (1): 43–46, doi:10.4064/ap86-1-5, MR 2183036
  • Drużkowski, Ludwik M. (2005), "The Jacobian conjecture: symmetric reduction and solution in the symmetric cubic linear case", Annales Polonici Mathematici, 87: 83–92, doi:10.4064/ap87-0-7, MR 2208537
  • Pinchuk, Sergey (1994), "A counterexample to the strong real Jacobian conjecture", Mathematische Zeitschrift, 217 (1): 1–4, doi:10.1007/bf02571929, MR 1292168
  • Belov-Kanel, Alexei; Kontsevich, Maxim (2007), "The Jacobian conjecture is stably equivalent to the Dixmier conjecture", Moscow Mathematical Journal, 7 (2): 209–218, arXiv:math/0512171, Bibcode:2005math.....12171B, doi:10.17323/1609-4514-2007-7-2-209-218, MR 2337879, S2CID 15150838

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  • Keller, Ott-Heinrich (1939), "Ganze Cremona-Transformationen", Monatshefte für Mathematik und Physik, 47 (1): 299–306, doi:10.1007/BF01695502, ISSN 0026-9255
  • Bass, Hyman; Connell, Edwin H.; Wright, David (1982), "The Jacobian conjecture: reduction of degree and formal expansion of the inverse", Bulletin of the American Mathematical Society, New Series, 7 (2): 287–330, doi:10.1090/S0273-0979-1982-15032-7, ISSN 1088-9485, MR 0663785
  • Moh, Tzuong-Tsieng (1983), "On the Jacobian conjecture and the configurations of roots", Journal für die reine und angewandte Mathematik, 1983 (340): 140–212, doi:10.1515/crll.1983.340.140, ISSN 0075-4102, MR 0691964, S2CID 116143599
  • Tsuchimoto, Yoshifumi (2005), "Endomorphisms of Weyl algebra and -curvatures", Osaka Journal of Mathematics, 42 (2): 435–452, ISSN 0030-6126