Monomial Derivations

2011/09/01 by Jean Moulin Ollagnier, Andrzej Nowicki · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Meromorphic and Entire Functions #Algebraic Geometry and Number Theory

paper · doi:10.1080/00927872.2010.496750

Abstract

We present some general properties of monomial derivations of the polynomial ring k[x 1,…, x n ], where k is a field of characteristic zero. The main result of this article is a characterization of some large class of monomial derivations without Darboux polynomials. In particular, we present a full description of all monomial derivations of k[x, y, z] which have no Darboux polynomials.

Citations

• Rational constants of monomial derivations

Cited by

• Linear-in-degree monomial Rota-Baxter of weight zero and averaging operators on F[x, y] and F₀[x, y]

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