Differential polynomial rings in several variables over locally nilpotent rings-Reference-Cited by-同舟云学术

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Differential polynomial rings in several variables over locally nilpotent rings

Published:2019-10-15 Issue:01 Volume:30 Page:117-123
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Chen Fei Yu¹,Hagan Hannah²,Wang Allison³

Affiliation:

1. Department of Mathematics, University of California, Berkeley, CA 94720, USA

2. Department of Mathematics, Vanderbilt University, Nashville, TN 37235, USA

3. Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA

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.

Funder

NSF

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196719500668

Reference10 articles.

1. Polynomial Rings over Nil Rings Cannot Be Homomorphically Mapped onto Rings with Nonzero Idempotents

2. Differential polynomial rings over rings satisfying a polynomial identity

3. On differential polynomial rings over locally nilpotent rings

4. On polynomial rings over nil rings in several variables and the central closure of prime nil rings

5. Five solved problems on radicals of Ore extensions

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Iterated differential polynomial rings over locally nilpotent rings;Communications in Algebra;2020-07-29

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