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

Published 24 Mar 2019 in math.RA and math.KT | (1903.10049v1)

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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