"I liked the algebraic way of looking at things.
I’m additionally fascinated when the algebraic method is applied to infinite objects”.

Irwing Kaplansky

The following report

A. Gatalevych, A. Dmytruk

Stable range conditions for abelian and duo rings

April 12, 2019 at 13:35 in Lecture Room 372

We introduce the concepts of a ring of (von Neumann) regular range 1, a ring of semihereditary range 1, a ring of regular range 1. We find relationships between the introduced classes of rings and known ones for abelian and duo rings. We proved that Hermite duo ring of Gelfand range 1 is an elementary divisor ring.


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