Bavula, V.V. (2020) Classification of simple modules of the ore extension K[X][Y;fddX]. Mathematics in Computer Science, 14. pp. 317-325. ISSN 1661-8270
Abstract
For the algebras Λ in the title of the paper, a classification of simple modules is given, an explicit description of the prime and completely prime spectra is obtained, the global and the Krull dimensions of Λ are computed.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 The Author. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
Keywords: | A skew polynomial ring; A prime ideal; A completely prime ideal; A simple module; The global dimension; The Krull dimension; A normal element |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 10 Dec 2019 11:35 |
Last Modified: | 03 Jul 2020 16:12 |
Status: | Published |
Publisher: | Springer Science and Business Media LLC |
Refereed: | Yes |
Identification Number: | 10.1007/s11786-019-00414-7 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:154252 |
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Filename: Bavula2019_Article_ClassificationOfSimpleModulesO.pdf
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