常数环的p基的一个刻划
A characterization of p-bases of rings of constants
摘要：
得到了n元m个多项式构成某个多项式K-导子的常数环的p-基的两个等价条件，其中K是特征p>0的UFD.这些条件之一涉及雅可比，第二-一些性质的因素。在m=n的情况下，这推广了已知的Nousiainen定理，我们得到了一个新的制剂的雅可比猜想的正特征。
英文摘要：
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 UFD of characteristic p>0. One of these conditions involves jacobians, and the second - some properties of factors. In the case of m=n this extends the known theorem of Nousiainen, and we obtain a new formulation of the jacobian conjecture in positive characteristic.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
