2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115292In this paper we prove that every automorphism of the semigroup of invertible matrices with nonnegative elements over a linearly oredered associative ring on some specially defined subgroup concides with the composition of an inner automorphism of the semigroup, an automorphism of the ring preserving the order, and a central homothety.16 pagesRings and Algebras16W80; 15A33; 08A35text