Mathematics – Commutative Algebra
Scientific paper
2007-06-08
Mathematics
Commutative Algebra
p.11, Several statements are revised for being easily understadable but the main stream is unchanged. Please read the proof of
Scientific paper
Our final target is a faded result, the Jacobian Conjecture : If $f_1,...,
f_n$ be elements in a polynomial ring $k[X_1,..., X_n]$ over a field $k$ of
characteristic zero such that $ \det(\partial f_i/ \partial X_j) $ is a nonzero
constant, then $k[f_1,..., f_n] = k[X_1,..., X_n]$.
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