On the extension of the Jordan-Kronecker's “Principle of reduction” for inseparable polynomials“”
Štefan Schwarz (1947)
Časopis pro pěstování matematiky a fysiky
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Displaying similar documents to “A hypercomplex proof of the Jordan-Kronecker's “Principle of reduction””
On the extension of the Jordan-Kronecker's “Principle of reduction” for inseparable polynomials“”
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We obtain two equivalent conditions for m polynomials in n variables to form a p-basis of a ring of constants of some polynomial K-derivation, where K is a unique factorization domain of characteristic p > 0. One of these conditions involves Jacobians while the other some properties of factors. In the case m = n this extends the known theorem of Nousiainen, and we obtain a new formulation of the Jacobian conjecture in positive characteristic.
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