2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133594This paper will briefly survey some recent methods of localization in group rings, which work in more general contexts than the classical Ore localization. In particular the Cohn localization using matrices will be described, but other methods will also be considered.14 pages, minor revisions, corrections and updatesRings and Algebras16S10 (Primary) 16U20, 20C07 (Secondary)Noncommutative localization in group ringstext