Elementary divisor rings with Dubrovin-Komarnytsky property
Abstract
We introduce noncommutative rings with DK-property (Dubrovin-Komarnytsky's property) and investigate elementary divisor rings with such property. Mostly we pay attention to these kinds of noncommutative rings which have stable range 1. A theory of reduction matrices over such rings is constructed. As a consequence, new families of non-commutative rings of elementary divisor rings are constructed.
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