Algebraic derivations on affine domains

2013/01/15 by Kayo Masuda, Masuda, Kayo, Masayoshi Miyanishi +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Meromorphic and Entire Functions #math.AG

paper · pdf · doi:10.48550/arxiv.1301.3259

to appear in the proceedings of CAAG 2010, Bangalore

openalex publication_date 2013/01/15 · arxiv created 2013/03/06 · arxiv updated 2013/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We observe algebraic derivations on an affine domain B defined over an algebraically closed field of characteristic 0, which are called locally finite derivations in commutative and non-commutative contexts in other references. We observe the graded ring structure which the algebraic derivation defines on B, and give characterizations of a polynomial ring in two variables in terms of algebraic derivations.

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