Chen, Fei Yu and Hagan, Hannah and Wang, Allison (2020) Differential polynomial rings in several variables over locally nilpotent rings. International Journal of Algebra and Computation, 30 (1). pp. 117-123. ISSN 0218-1967. doi:10.1142/s0218196719500668. https://resolver.caltech.edu/CaltechAUTHORS:20200305-140732396
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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.
| Item Type: | Article | ||||||
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| Additional Information: | © 2020 World Scientific Publishing. Received 1 August 2018; Accepted 10 August 2019; Published: 15 October 2019. | ||||||
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| Subject Keywords: | Behrens radical; differential polynomial ring; locally nilpotent ring | ||||||
| Issue or Number: | 1 | ||||||
| Classification Code: | AMSC: 16N40 | ||||||
| DOI: | 10.1142/s0218196719500668 | ||||||
| Record Number: | CaltechAUTHORS:20200305-140732396 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200305-140732396 | ||||||
| Official Citation: | Differential polynomial rings in several variables over locally nilpotent rings. Fei Yu Chen, Hannah Hagan, and Allison Wang. International Journal of Algebra and Computation 2020 30:01, 117-123; doi: 10.1142/s0218196719500668 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 101728 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 05 Mar 2020 23:17 | ||||||
| Last Modified: | 16 Nov 2021 18:05 |
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