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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2012 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152240 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides / T. Kysil, B. Zabavskiy, O. Domsha // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 230–235. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-152240 |
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Kysil, T. Zabavskiy, B. Domsha, O. 2019-06-09T06:08:28Z 2019-06-09T06:08:28Z 2012 Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides / T. Kysil, B. Zabavskiy, O. Domsha // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 230–235. — Бібліогр.: 10 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/152240 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides |
| spellingShingle |
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides Kysil, T. Zabavskiy, B. Domsha, O. |
| 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 |
| author |
Kysil, T. Zabavskiy, B. Domsha, O. |
| author_facet |
Kysil, T. Zabavskiy, B. Domsha, O. |
| publishDate |
2012 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152240 |
| citation_txt |
Reduction of matrices over Bezout domains of stable range 1 with Dubrovin’s condition in which maximal nonprincipal ideals are two-sides / T. Kysil, B. Zabavskiy, O. Domsha // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 230–235. — Бібліогр.: 10 назв. — англ. |
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| first_indexed |
2025-12-07T17:56:47Z |
| last_indexed |
2025-12-07T17:56:47Z |
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