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arXiv · 2508.17100

Elementary divisor rings with Dubrovin-Komarnytsky property

Victor Bovdi·Bohdan Zabavsky
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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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Victor Bovdi, Bohdan Zabavsky. 2025-08-23. Elementary divisor rings with Dubrovin-Komarnytsky property. https://doi.org/10.46298/cm.16406

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