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Monomial Derivations without Darboux Polynomials |
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| Authors: | LI JIAN-TAO |
| Institution: | School of Mathematics, Liaoning University, Shenyang, 110036 |
| Abstract: | In this paper, it is proved that a monomial derivation d of kx, 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. |
| Keywords: | derivation monomial derivation Darboux polynomial ring of constants |
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