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arXiv · 1905.10068

Higher derivations of Jacobian type in positive characteristic

Takanori Nagamine
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Abstract

In this paper, we study higher derivations of Jacobian type in positive characteristic. We give a necessary and sufficient condition for $(n-1)$-tuples of polynomials to be extendable in the polynomial ring in $n$ variables over an integral domain $R$ of positive characteristic. In particular, we give characterizations of variables and univariate polynomials by using the terms of higher derivations of Jacobian type in the polynomial ring in two variables over a field of positive characteristic.

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Takanori Nagamine. 2019-05-24. Higher derivations of Jacobian type in positive characteristic. https://arxiv.org/abs/1905.10068

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