2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68939In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity by a compact metrizable space. We explicitly classify their finitely presented modules in the finite and tame cases. The algebra of row-column-finite (or locally finite) matrices over an arbitrary field is one of the algebras considered in this paper, its representation type is shown to be finite.33 pagesRepresentation TheoryK-Theory and Homology16G60, 16S50 (primary) 16G20, 16E10, 16E30 (secondary)text