A note on commutators in the group of infinite triangular matrices over a ring
A note on commutators in the group of infinite triangular matrices over a ring
We investigate the commutators of elements of the group of infinite unitriangular matrices over an associative ring with and a commutative group of invertible elements. We prove that every unitriangular matrix of a specified form is a commutator of two other unitriangular matrices. As a direct consequence, we give a …