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: | 2012 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2012
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/152240 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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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