Differential polynomial rings in several variables over locally nilpotent rings

Fei Yu Chen; Hannah Hagan; Allison Wang

doi:10.1142/s0218196719500668

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Differential polynomial rings in several variables over locally nilpotent rings

Fei Yu Chen Hannah Hagan Allison Wang

Year: 2019 Journal: International Journal of Algebra and Computation Vol: 30 (01)Pages: 117-123 Publisher: World Scientific

DOI: 10.1142/s0218196719500668

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Abstract

We show that a differential polynomial ring over a locally nilpotent ring in several commuting variables is Behrens radical, extending a result by Chebotar.

Keywords:

Mathematics Locally nilpotent Nilpotent Polynomial ring Pure mathematics Differential (mechanical device) Polynomial Discrete mathematics Algebra over a field Nilpotent group Mathematical analysis

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Advanced Differential Equations and Dynamical Systems

Physical Sciences → Mathematics → Geometry and Topology

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Differential polynomial rings in several variables over locally nilpotent rings

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