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arXiv · 1903.10049

Diagonal reduction of matrices over Bezout rings of stable range 1 with the Kazimirsky condition

Bohdan Zabavsky·Oleh Romaniv
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Abstract

We constuct the theory of diagonalizability for matrices over Bezout rings of stable range 1 with the Kazimirsky condition. It is shown that a ring of stable range 1 with the right (left) Kazimirsky condition is an elementary divisor ring if and only if it is a duo ring.

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Bohdan Zabavsky, Oleh Romaniv. 2019-03-24. Diagonal reduction of matrices over Bezout rings of stable range 1 with the Kazimirsky condition. https://arxiv.org/abs/1903.10049

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