Subnormal Structure of Two-Dimensional Linear Groups over Full Rings

A description of the subnormal subgroups of two-dimensional linear groups over certain $(m,n)$-full rings is given. Examples of $(m,n)$-full rings are semilocal rings and rings of dimension zero, in particular, von Neumann regular rings, under the assumption that every residue field of these rings contains more than $m(n - 1)$ elements.