Bavula, V., Bekkert, V. and Futorny, V. (2018) Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators. Proceedings of the American Mathematical Society, 146. pp. 2373-2380. ISSN 0002-9939
Abstract
For the algebra L= K <x, d/dx, \int> of polynomial integro-differential operators over a field K of characteristic zero, a classification of indecomposable, generalized weight L-modules of finite length is given. Each such module is an infinite dimensional uniserial module. Ext-groups are found between indecomposable generalized weight modules, it is proven that they are finite dimensional vector spaces.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 American Mathematical Society. This is an author produced version of a paper subsequently published in Proceedings of the American Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy. |
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: | 01 Dec 2017 16:12 |
Last Modified: | 09 Apr 2024 10:54 |
Status: | Published |
Publisher: | American Mathematical Society |
Refereed: | Yes |
Identification Number: | 10.1090/proc/13985 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:124656 |