Year: 2017
Author: Jiantao Li
Communications in Mathematical Research, Vol. 33 (2017), Iss. 2 : pp. 185–192
Abstract
In this paper, it is proved that a monomial derivation d of $k[x, y, z]$ has no Darboux polynomials if and only if $d$ is a strict derivation with a trivial ring of constants, and we give the specific conditions when it has no Darboux polynomials.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.02.10
Communications in Mathematical Research, Vol. 33 (2017), Iss. 2 : pp. 185–192
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: derivation monomial derivation Darboux polynomial ring of constants