@Article{CMR-33-185, author = {Li , Jiantao}, title = {Monomial Derivations Without Darboux Polynomials}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {33}, number = {2}, pages = {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. 

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2017.02.10}, url = {http://global-sci.org/intro/article_detail/cmr/13398.html} }