To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals
We study the structure of nonsingular matrices over the domain of principal ideals that possess the property of multiplicativity of canonical diagonal forms. In particular, we establish necessary and sufficient conditions of multiplicativity of canonical diagonal forms of nonsingular matrices over t...
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| Datum: | 1995 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5551 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511786248175616 |
|---|---|
| author | Prokip, V. M. Прокіп, В. М. |
| author_facet | Prokip, V. M. Прокіп, В. М. |
| author_sort | Prokip, V. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:13:12Z |
| description | We study the structure of nonsingular matrices over the domain of principal ideals that possess the property of multiplicativity of canonical diagonal forms. In particular, we establish necessary and sufficient conditions of multiplicativity of canonical diagonal forms of nonsingular matrices over this domain. |
| first_indexed | 2026-03-24T03:18:25Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5551 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:18:25Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/3d/0b44d388a4643f307549840b3b46bd3d.pdf |
| spelling | umjimathkievua-article-55512020-03-19T09:13:12Z To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals До питання про мультиплікативність канонічних діагональних форм матриць над областю головних ідеалів Prokip, V. M. Прокіп, В. М. We study the structure of nonsingular matrices over the domain of principal ideals that possess the property of multiplicativity of canonical diagonal forms. In particular, we establish necessary and sufficient conditions of multiplicativity of canonical diagonal forms of nonsingular matrices over this domain. Досліджується структура неособливих матриць над областю головних ідеалів, що мають властивість мультиплікативності канонічних діагональних форм. Зокрема, встановлено необхідну та достатню умови мультиплікативності канонічних діагональних форм неособливих матриць над даною областю. Institute of Mathematics, NAS of Ukraine 1995-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5551 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 11 (1995); 1581–1584 Український математичний журнал; Том 47 № 11 (1995); 1581–1584 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5551/7790 https://umj.imath.kiev.ua/index.php/umj/article/view/5551/7791 Copyright (c) 1995 Prokip V. M. |
| spellingShingle | Prokip, V. M. Прокіп, В. М. To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals |
| title | To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals |
| title_alt | До питання про мультиплікативність канонічних діагональних форм
матриць над областю головних ідеалів |
| title_full | To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals |
| title_fullStr | To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals |
| title_full_unstemmed | To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals |
| title_short | To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals |
| title_sort | to the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5551 |
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