Iterated differential polynomial rings over locally nilpotent rings

Steven Jin; Jooyoung Shin

doi:10.1080/00927872.2020.1797075

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Iterated differential polynomial rings over locally nilpotent rings

Steven Jin Jooyoung Shin

Year: 2020 Journal: Communications in Algebra Vol: 49 (1)Pages: 256-262 Publisher: Taylor & Francis

DOI: 10.1080/00927872.2020.1797075

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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 Chen et al.

Keywords:

Mathematics Locally nilpotent Polynomial ring Nilpotent Ring (chemistry) Iterated function Pure mathematics Class (philosophy) Differential (mechanical device) Polynomial Noncommutative ring Discrete mathematics Nilpotent group Mathematical analysis Computer science

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Topics

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Iterated differential polynomial rings over locally nilpotent rings

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