2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63756The Morita equivalence of m-regular involutive quantales in the context of the theory of Hilbert $A$-modules is presented. The corresponding fundamental representation theorems are shown. We also prove that two commutative m-regular involutive quantales are Morita equivalent if and only if they are isomorphic29 pagesOperator Algebras46M15, 46L05, 18D20, 06F07text