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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Bibliographische Detailangaben
Datum:2018
Hauptverfasser: Kysil, Tetyana, Zabavskiy, Bogdan, Domsha, Olga
Format: Artikel
Sprache:English
Veröffentlicht: 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

Institution

Algebra and Discrete Mathematics
Beschreibung
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