Diagonalizability theorem for matrices over certain domains
It is proved that \(R\) is a commutative adequate domain, then \(R\) is the domain of stable range 1 in localization in multiplicative closed set which corresponds s-torsion in the sense of Komarnitskii.
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/676 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-6762018-04-04T09:28:39Z Diagonalizability theorem for matrices over certain domains Zabavsky, Bogdan Domsha, Olga a Bezout domain, a ring of stable range 1, an adequate domain, a co-adequate element, an element of almost stable range 1, an elementary divisors ring Type AMS subject classification here.. It is proved that \(R\) is a commutative adequate domain, then \(R\) is the domain of stable range 1 in localization in multiplicative closed set which corresponds s-torsion in the sense of Komarnitskii. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/676 Algebra and Discrete Mathematics; Vol 12, No 1 (2011) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/676/210 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-04T09:28:39Z |
| collection |
OJS |
| language |
English |
| topic |
a Bezout domain a ring of stable range 1 an adequate domain a co-adequate element an element of almost stable range 1 an elementary divisors ring Type AMS subject classification here.. |
| spellingShingle |
a Bezout domain a ring of stable range 1 an adequate domain a co-adequate element an element of almost stable range 1 an elementary divisors ring Type AMS subject classification here.. Zabavsky, Bogdan Domsha, Olga Diagonalizability theorem for matrices over certain domains |
| topic_facet |
a Bezout domain a ring of stable range 1 an adequate domain a co-adequate element an element of almost stable range 1 an elementary divisors ring Type AMS subject classification here.. |
| format |
Article |
| author |
Zabavsky, Bogdan Domsha, Olga |
| author_facet |
Zabavsky, Bogdan Domsha, Olga |
| author_sort |
Zabavsky, Bogdan |
| title |
Diagonalizability theorem for matrices over certain domains |
| title_short |
Diagonalizability theorem for matrices over certain domains |
| title_full |
Diagonalizability theorem for matrices over certain domains |
| title_fullStr |
Diagonalizability theorem for matrices over certain domains |
| title_full_unstemmed |
Diagonalizability theorem for matrices over certain domains |
| title_sort |
diagonalizability theorem for matrices over certain domains |
| description |
It is proved that \(R\) is a commutative adequate domain, then \(R\) is the domain of stable range 1 in localization in multiplicative closed set which corresponds s-torsion in the sense of Komarnitskii. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/676 |
| work_keys_str_mv |
AT zabavskybogdan diagonalizabilitytheoremformatricesovercertaindomains AT domshaolga diagonalizabilitytheoremformatricesovercertaindomains |
| first_indexed |
2025-12-02T15:36:37Z |
| last_indexed |
2025-12-02T15:36:37Z |
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1850411369369698304 |