Muro Jiménez, Fernando2016-06-062016-06-062004Muro Jiménez, F. (2004). Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology. K-theory, 33 (1), 23-65.0920-3036http://hdl.handle.net/11441/41899In 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s10977-004-1837-4