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math.RA2025
Elementary divisor rings with Dubrovin-Komarnytsky property
Victor Bovdi, Bohdan Zabavsky
We introduce noncommutative rings with -property (Dubrovin-Komarnytsky's property) and investigate elementary divisor rings with such property. Mostly we pay attention to these…
math.RA2025
Rings of the right (left) almost stable range 1
Victor Bovdi, Bohdan Zabavsky
We introduce a concept of rings of right (left) almost stable range and we construct a theory of a canonical diagonal reduction of matrices over such rings. A description of ne…