A polynomial map , with in a field is called invertible if there exist such that for so that (Becker and Weispfenning 1993, p. 330). Gröbner bases provide a means to decide for given whether or not is invertible.
Invertible Polynomial Map
See also
Gröbner Basis, Invertible Polynomial, Jacobian Conjecture, Polynomial MapExplore with Wolfram|Alpha
References
Becker, T. and Weispfenning, V. Gröbner Bases: A Computational Approach to Commutative Algebra. New York: Springer-Verlag, p. 330, 1993.Referenced on Wolfram|Alpha
Invertible Polynomial MapCite this as:
Weisstein, Eric W. "Invertible Polynomial Map." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InvertiblePolynomialMap.html