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Monomial Derivations Without Darboux Polynomials

Monomial Derivations Without Darboux Polynomials

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

Author Details

Jiantao Li