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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Бібліографічні деталі
Опубліковано в: :Algebra and Discrete Mathematics
Дата:2012
Автори: Kysil, T., Zabavskiy, B., Domsha, O.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут прикладної математики і механіки НАН України 2012
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/152240
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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
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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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