Rings with projective basic right ideals
It has been proved that if $A$ is a right-distributive ring, algebraic over its center, and whose principal ideals are projective, then $A$  is a left-distributive ring.
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| Date: | 1990 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1990
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8855 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865794946639855616 |
|---|---|
| author | Tuganbaev, A. A. Туганбаев, А. А. |
| author_facet | Tuganbaev, A. A. Туганбаев, А. А. |
| author_institution_txt_mv | [
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"author": "А. А. Туганбаев",
"institution": "Моск. энерг. ин-т"
}
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| author_sort | Tuganbaev, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | It has been proved that if $A$ is a right-distributive ring, algebraic over its center, and whose principal ideals are projective, then $A$  is a left-distributive ring. |
| first_indexed | 2026-03-24T03:43:06Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8855 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:43:06Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/35/aa987d5bcd62764f196ebf3d3bad8c35.pdf |
| spelling | umjimathkievua-article-88552024-11-14T10:10:56Z Rings with projective basic right ideals Кольца с проективными главными правыми идеалами Tuganbaev, A. A. Туганбаев, А. А. It has been proved that if $A$ is a right-distributive ring, algebraic over its center, and whose principal ideals are projective, then $A$  is a left-distributive ring. Доказано, что если $A$ —дистрибутивное справа кольцо, алгебраичное над своим центром, у которого все главные правые идеалы проективны, то $A$ — дистрибутивное слева кольцо. Доведено, що коли $A$ — дистрибутивне справа кільце, алгебраїчне над своїм центром, у якого всі головні праві ідеали проективні, то $A$ — дистрибутивне зліва кільце. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8855 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 861-863 Український математичний журнал; Том 42 № 6 (1990); 861-863 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8855/10275 Copyright (c) 1990 A. A. Tuganbaev |
| spellingShingle | Tuganbaev, A. A. Туганбаев, А. А. Rings with projective basic right ideals |
| title | Rings with projective basic right ideals |
| title_alt | Кольца с проективными главными правыми идеалами |
| title_full | Rings with projective basic right ideals |
| title_fullStr | Rings with projective basic right ideals |
| title_full_unstemmed | Rings with projective basic right ideals |
| title_short | Rings with projective basic right ideals |
| title_sort | rings with projective basic right ideals |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8855 |
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