Simple $D [X, Y; \sigma, а]$-modules
The article classifies simple modules over a generalized Weyl algebra of degree 1 with basis ring $D$ that is a commutative domain with limited minimality condition.
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8189 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512969351233536 |
|---|---|
| author | Bavula , V. V. Бавула , В. В. |
| author_facet | Bavula , V. V. Бавула , В. В. |
| author_sort | Bavula , V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-02-26T13:57:58Z |
| description | The article classifies simple modules over a generalized Weyl algebra of degree 1 with basis ring $D$ that is a commutative domain with limited minimality condition. |
| first_indexed | 2026-03-24T03:37:14Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8189 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:37:14Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/07/fc78d63bcd37f1f4b22033ff2cd11d07.pdf |
| spelling | umjimathkievua-article-81892024-02-26T13:57:58Z Simple $D [X, Y; \sigma, а]$-modules Простые $D [X, Y; \sigma, а]$-модули Bavula , V. V. Бавула , В. В. The article classifies simple modules over a generalized Weyl algebra of degree 1 with basis ring $D$ that is a commutative domain with limited minimality condition. Приведена классификация простых модулей над обобщенной алгеброй Вейля степени 1 с базисным кольцом $D$, являющимся коммутативной областью с ограниченным условием минимальности. Наведена класифікація простих модулів над узагальненою алгеброю Вейля степеня 1 з базисним кільцем $D$, яке є комутативною областю з обмеженою умовою мінімальності. Institute of Mathematics, NAS of Ukraine 1992-12-04 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8189 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 12 (1992); 1628-1644 Український математичний журнал; Том 44 № 12 (1992); 1628-1644 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8189/9712 Copyright (c) 1992 V. V. Bavula |
| spellingShingle | Bavula , V. V. Бавула , В. В. Simple $D [X, Y; \sigma, а]$-modules |
| title | Simple $D [X, Y; \sigma, а]$-modules |
| title_alt | Простые $D [X, Y; \sigma, а]$-модули |
| title_full | Simple $D [X, Y; \sigma, а]$-modules |
| title_fullStr | Simple $D [X, Y; \sigma, а]$-modules |
| title_full_unstemmed | Simple $D [X, Y; \sigma, а]$-modules |
| title_short | Simple $D [X, Y; \sigma, а]$-modules |
| title_sort | simple $d [x, y; \sigma, а]$-modules |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8189 |
| work_keys_str_mv | AT bavulavv simpledxysigmaamodules AT bavulavv simpledxysigmaamodules AT bavulavv prostyedxysigmaamoduli AT bavulavv prostyedxysigmaamoduli |