On the Kernel of a Polynomial of Scalar Derivations

Savin Treanţă
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Savin Treanţă: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

Mathematics, 2020, vol. 8, issue 4, 1-6

Abstract: 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.

Keywords: scalar derivation; characteristic system; Lie algebra; gradient system; kernel (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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