Surjective polynomial maps, and a remark on the jacobian problem
Copyright policy ) McKenna, Ken; Van den Dries, Lou;
Surjective polynomial maps, and a remark on the jacobian problem
The authors prove the following theorem: ``If R is an affine domain (a domain that is either finitely generated as a ring, or finitely generated as an algebra over a subfield) but not a field, and if f: \(R^ m\to R^ m\) is a surjective polynomial map over R, then f is bijective, and its inverse is also a polynomial map over R.''
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- DigiZeitschriften Germany
- University of Illinois System United States
- University of Illinois at Urbana Champaign United States
Polynomial rings and ideals; rings of integer-valued polynomials, 510.mathematics, Integral domains, surjective polynomial map, Rational and birational maps, Article
Polynomial rings and ideals; rings of integer-valued polynomials, 510.mathematics, Integral domains, surjective polynomial map, Rational and birational maps, Article
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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