Diagonalizability theorem for matrices over certain domains

Bogdan Zabavsky, Olga Domsha

Abstract


It is proved that \(R\) is a commutative adequate domain, then \(R\) is the domain of stable range 1 in localization in multiplicative closed set which corresponds s-torsion in the sense of Komarnitskii.


Keywords


a Bezout domain, a ring of stable range 1, an adequate domain, a co-adequate element, an element of almost stable range 1, an elementary divisors ring

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