Elementary divisor rings with Dubrovin-Komarnytsky property
arXiv:2508.17100 · doi:10.46298/cm.16406
Abstract
We introduce noncommutative rings with -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 . 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.
13 pages