A Note on Darboux Polynomials of Monomial Derivations
Commutative Algebra
2015-03-25 v1
Authors:
Jiantao Li
Abstract
We study a monomial derivation d proposed by J. Moulin Ollagnier and A. Nowicki in the polynomial ring of four variables, and prove that d has no Darboux polynomials if and only if d has a trivial field of constants.
Cite
@article{arxiv.1503.07011,
title = {A Note on Darboux Polynomials of Monomial Derivations},
author = {Jiantao Li},
journal= {arXiv preprint arXiv:1503.07011},
year = {2015}
}
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