Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides
It is proved that each matrix over Bezout domain of stable range 1 with Dubrovin's condition, in which every maximal nonprincipal ideals are tho-sides ideals, is equivalent to diagonal one with right total division of diagonal elements
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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/722 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-7222018-04-04T10:03:23Z Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides Kysil, Tetyana Zabavskiy, Bogdan Domsha, Olga Bezout domain, domain of stable range 1, Dubrovin’s condition, maximal nonprincipal ideal, right total division It is proved that each matrix over Bezout domain of stable range 1 with Dubrovin's condition, in which every maximal nonprincipal ideals are tho-sides ideals, is equivalent to diagonal one with right total division of diagonal elements 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/722 Algebra and Discrete Mathematics; Vol 14, No 2 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/722/254 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-04T10:03:23Z |
| collection |
OJS |
| language |
English |
| topic |
Bezout domain domain of stable range 1 Dubrovin’s condition maximal nonprincipal ideal right total division |
| spellingShingle |
Bezout domain domain of stable range 1 Dubrovin’s condition maximal nonprincipal ideal right total division Kysil, Tetyana Zabavskiy, Bogdan Domsha, Olga Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides |
| topic_facet |
Bezout domain domain of stable range 1 Dubrovin’s condition maximal nonprincipal ideal right total division |
| format |
Article |
| author |
Kysil, Tetyana Zabavskiy, Bogdan Domsha, Olga |
| author_facet |
Kysil, Tetyana Zabavskiy, Bogdan Domsha, Olga |
| author_sort |
Kysil, Tetyana |
| title |
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides |
| title_short |
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides |
| title_full |
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides |
| title_fullStr |
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides |
| title_full_unstemmed |
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides |
| title_sort |
reduction of matrices over bezout domains of stable range 1 with dubrovin’s condition in which maximal nonprincipal ideals are two-sides |
| description |
It is proved that each matrix over Bezout domain of stable range 1 with Dubrovin's condition, in which every maximal nonprincipal ideals are tho-sides ideals, is equivalent to diagonal one with right total division of diagonal elements |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/722 |
| work_keys_str_mv |
AT kysiltetyana reductionofmatricesoverbezoutdomainsofstablerange1withdubrovinsconditioninwhichmaximalnonprincipalidealsaretwosides AT zabavskiybogdan reductionofmatricesoverbezoutdomainsofstablerange1withdubrovinsconditioninwhichmaximalnonprincipalidealsaretwosides AT domshaolga reductionofmatricesoverbezoutdomainsofstablerange1withdubrovinsconditioninwhichmaximalnonprincipalidealsaretwosides |
| first_indexed |
2025-12-02T15:36:46Z |
| last_indexed |
2025-12-02T15:36:46Z |
| _version_ |
1850411379105726464 |