Description of bilateral ideals in a class of noncommutative rings. II
For generalized Weyl algebras containing the universal enveloping algebra $U_{sl} (2, К)$ of the Lie algebra $sl (2)$ over a field with characteristic zero, bilateral ideals are classified. We show that a product of ideals is commutative and any proper ideal can be uniquely decomposed into a product...
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| Datum: | 1993 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5814 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512034375860224 |
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| author | Bavula, V. V. Бавула, В. В. Бавула, В. В. |
| author_facet | Bavula, V. V. Бавула, В. В. Бавула, В. В. |
| author_sort | Bavula, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:35Z |
| description | For generalized Weyl algebras containing the universal enveloping algebra $U_{sl} (2, К)$ of the Lie algebra $sl (2)$ over a field with characteristic zero, bilateral ideals are classified. We show that a product of ideals is commutative and any proper ideal can be uniquely decomposed into a product of primary ideals. |
| first_indexed | 2026-03-24T03:22:22Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5814 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:22Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/dc/320dd0cc13adccfca3c08428ce1958dc.pdf |
| spelling | umjimathkievua-article-58142020-03-19T09:18:35Z Description of bilateral ideals in a class of noncommutative rings. II Описание двусторонних идеалов в одном классе некоммутативных колец. II Bavula, V. V. Бавула, В. В. Бавула, В. В. For generalized Weyl algebras containing the universal enveloping algebra $U_{sl} (2, К)$ of the Lie algebra $sl (2)$ over a field with characteristic zero, bilateral ideals are classified. We show that a product of ideals is commutative and any proper ideal can be uniquely decomposed into a product of primary ideals. Для узагальнених алгебр Вейля, які містять універсальну обгоргуючу алгебру $U_{sl} (2, К)$ алгебри Лі $sl (2)$ над полем характеристики 0, класифікуються двосторонні ідеали. Показано, що добуток ідеалів переставний і довільний власний ідеал однозначно розкладається в добуток первинних ідеалів. Institute of Mathematics, NAS of Ukraine 1993-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5814 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 3 (1993); 307–312 Український математичний журнал; Том 45 № 3 (1993); 307–312 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5814/8311 https://umj.imath.kiev.ua/index.php/umj/article/view/5814/8312 Copyright (c) 1993 Bavula V. V. |
| spellingShingle | Bavula, V. V. Бавула, В. В. Бавула, В. В. Description of bilateral ideals in a class of noncommutative rings. II |
| title | Description of bilateral ideals in a class of noncommutative rings. II |
| title_alt | Описание двусторонних идеалов в одном классе некоммутативных колец. II |
| title_full | Description of bilateral ideals in a class of noncommutative rings. II |
| title_fullStr | Description of bilateral ideals in a class of noncommutative rings. II |
| title_full_unstemmed | Description of bilateral ideals in a class of noncommutative rings. II |
| title_short | Description of bilateral ideals in a class of noncommutative rings. II |
| title_sort | description of bilateral ideals in a class of noncommutative rings. ii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5814 |
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