algebraic map

A map f:XY between quasi-affine varieties Xkn,Ykm over a field k is called if there is a map f:knkm whose component functions are polynomials, such that f restricts to f on X.

Alternatively, f is algebraicMathworldPlanetmath if the pullback map f*:C(Y)C(X) maps the coordinate ring of Y, k[Y], to the coordinate ring of X, k[X].

Title algebraic map
Canonical name AlgebraicMap
Date of creation 2013-03-22 13:53:41
Last modified on 2013-03-22 13:53:41
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 7
Author mathcam (2727)
Entry type Definition
Classification msc 14A10
Synonym algebraic