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Iterated differential polynomial rings over locally nilpotent rings

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Abstract We study iterated differential polynomial rings over a locally nilpotent ring and show that a large class of such rings are Behrens radical. This extends results of Chebotar and… Click to show full abstract

Abstract We study iterated differential polynomial rings over a locally nilpotent ring and show that a large class of such rings are Behrens radical. This extends results of Chebotar and Chen et al.

Keywords: rings locally; nilpotent rings; differential polynomial; polynomial rings; iterated differential; locally nilpotent

Journal Title: Communications in Algebra
Year Published: 2020

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