On minimal prime ideals of commutative Bezout rings
We study the spectrum of minimal prime ideals of commutative Bezout rings. We apply the results obtained to the problem of diagonal reduction of matrices over rings of this sort.
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| Date: | 1999 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4690 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510847691915264 |
|---|---|
| author | Gatalevych, A. I. Гаталевич, А. І. |
| author_facet | Gatalevych, A. I. Гаталевич, А. І. |
| author_sort | Gatalevych, A. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:21Z |
| description | We study the spectrum of minimal prime ideals of commutative Bezout rings. We apply the results obtained to the problem of diagonal reduction of matrices over rings of this sort. |
| first_indexed | 2026-03-24T03:03:30Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4690 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:03:30Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/32/a6a0354eb514313c67853e3952eecf32.pdf |
| spelling | umjimathkievua-article-46902020-03-18T21:11:21Z On minimal prime ideals of commutative Bezout rings Про мінімальні прості ідеали комутативних кілець Безу Gatalevych, A. I. Гаталевич, А. І. We study the spectrum of minimal prime ideals of commutative Bezout rings. We apply the results obtained to the problem of diagonal reduction of matrices over rings of this sort. Вивчається спектр мінімальних простих ідеалів комутативних кілець Безу. Отримані результати застосовано до задачі діагональної редукції матриць над такими кільцями. Institute of Mathematics, NAS of Ukraine 1999-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4690 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 7 (1999); 1001–1005 Український математичний журнал; Том 51 № 7 (1999); 1001–1005 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4690/6082 https://umj.imath.kiev.ua/index.php/umj/article/view/4690/6083 Copyright (c) 1999 Gatalevych A. I. |
| spellingShingle | Gatalevych, A. I. Гаталевич, А. І. On minimal prime ideals of commutative Bezout rings |
| title | On minimal prime ideals of commutative Bezout rings |
| title_alt | Про мінімальні прості ідеали комутативних кілець
Безу |
| title_full | On minimal prime ideals of commutative Bezout rings |
| title_fullStr | On minimal prime ideals of commutative Bezout rings |
| title_full_unstemmed | On minimal prime ideals of commutative Bezout rings |
| title_short | On minimal prime ideals of commutative Bezout rings |
| title_sort | on minimal prime ideals of commutative bezout rings |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4690 |
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