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On the Kernel of a Polynomial of Scalar Derivations

Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Mathematics 2020, 8(4), 515; https://doi.org/10.3390/math8040515
Received: 6 March 2020 / Revised: 18 March 2020 / Accepted: 20 March 2020 / Published: 2 April 2020
In this paper, by using a vector variable, the procedure of characteristic systems allows us to describe the kernel of a polynomial of scalar derivations by solving Cauchy Problems for the corresponding system of ODEs. Moreover, a gradient representation for the associated Cauchy Problem solution is derived. View Full-Text
Keywords: scalar derivation; characteristic system; Lie algebra; gradient system; kernel scalar derivation; characteristic system; Lie algebra; gradient system; kernel
MDPI and ACS Style

Treanţă, S. On the Kernel of a Polynomial of Scalar Derivations. Mathematics 2020, 8, 515.

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