2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224834Given an extension $R \subseteq S$ of rings with same set of local units, inspired by the works of Miyashita, we construct four exact sequences of groups relating Picard's groups of $R$ and $S$.Rings and AlgebrasGroup TheoryInvertible unital bimodules over rings with local units, and related exact sequences of groupstext