Description of bilateral ideals in a class of noncommutative rings. I
For generalized Weil algebras of degree 1 with base Dedekind ring, bilateral ideals are classified. The (noncommutative) algebras, in which the product of ideals is permutable and any proper ideal is uniquely decomposed into the product of prime ideals, are described.
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5800 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512022639149056 |
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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 | 2020-03-19T09:18:17Z |
| description | For generalized Weil algebras of degree 1 with base Dedekind ring, bilateral ideals are classified. The (noncommutative) algebras, in which the product of ideals is permutable and any proper ideal is uniquely decomposed into the product of prime ideals, are described. |
| first_indexed | 2026-03-24T03:22:11Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5800 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:11Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b6/eaa7db82ccd5c0986c93caa8fd09feb6.pdf |
| spelling | umjimathkievua-article-58002020-03-19T09:18:17Z Description of bilateral ideals in a class of noncommutative rings. I Описание двусторонних идеалов в одном классе некоммутативных колец. I Bavula, V. V. Бавула, В. В. Бавула, В. В. For generalized Weil algebras of degree 1 with base Dedekind ring, bilateral ideals are classified. The (noncommutative) algebras, in which the product of ideals is permutable and any proper ideal is uniquely decomposed into the product of prime ideals, are described. Для узагальнених алгебр Вейля степеня 1 з базисним дедекіндовим кільцем класифікуються двосторонні ідеали, описуються (некомутативні) алгебри, в яких добуток ідеалів переставний, і будь-який власний ідеал однозначно розкладається в добуток первинних ідеалів. Institute of Mathematics, NAS of Ukraine 1993-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5800 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 2 (1993); 209–220 Український математичний журнал; Том 45 № 2 (1993); 209–220 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5800/8283 https://umj.imath.kiev.ua/index.php/umj/article/view/5800/8284 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. I |
| title | Description of bilateral ideals in a class of noncommutative rings. I |
| title_alt | Описание двусторонних идеалов в одном классе некоммутативных колец. I |
| title_full | Description of bilateral ideals in a class of noncommutative rings. I |
| title_fullStr | Description of bilateral ideals in a class of noncommutative rings. I |
| title_full_unstemmed | Description of bilateral ideals in a class of noncommutative rings. I |
| title_short | Description of bilateral ideals in a class of noncommutative rings. I |
| title_sort | description of bilateral ideals in a class of noncommutative rings. i |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5800 |
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