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Abstract / Description of output
We answer a question by Shestakov on the Jacobson radical in differential polynomial rings. We show that if R is a locally nilpotent ring with a derivation D then R[X; D] need not be Jacobson radical. We also show that J(R[X; D]) boolean AND R is a nil ideal of R in the case where D is a locally nilpotent derivation and R is an algebra over an uncountable field. (C) 2014 Elsevier Inc. All rights reserved.
Original language | English |
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Pages (from-to) | 207-217 |
Number of pages | 11 |
Journal | Journal of Algebra |
Volume | 412 |
DOIs | |
Publication status | Published - 15 Aug 2014 |
Keywords / Materials (for Non-textual outputs)
- Jacobson radical
- Differential polynomial ring
- Locally nilpotent ring
- Locally nilpotent derivation
- DERIVATION TYPE
- ORE EXTENSIONS
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Dive into the research topics of 'Differential polynomial rings over locally nilpotent rings need not be Jacobson radical'. Together they form a unique fingerprint.Projects
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Agata Smoktunowicz
- School of Mathematics - Personal Chair in Algebra
Person: Academic: Research Active