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| _version_ | 1862715220165656576 |
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| author | Kysil, T. Zabavskiy, B. Domsha, O. |
| author_facet | Kysil, T. Zabavskiy, B. Domsha, O. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T17:56:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152240 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:56:47Z |
| publishDate | 2012 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| 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 | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152240 |
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