Diagonalizability theorems for matrices over rings with finite stable range

We construct the theory of diagonalizability for matrices over Bezout ring with finite stable range. It is shown that every commutative Bezout ring with compact minimal prime spectrum is Hermite. It is also shown that a principal ideal domain with stable range 1 is Euclidean domain, and every semilo...

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Datum:2018
1. Verfasser: Zabavsky, Bogdan
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/923
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Назва журналу:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

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