2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145239A concept of quantum triad and its solution is introduced. It represents a common framework for several situations where we have a quantale with a right module and a left module, provided with a bilinear inner product. Examples include Van den Bossche quantaloids, quantum frames, simple and Galois quantales, operator algebras, or orthomodular lattices.Category TheoryOperator AlgebrasRings and Algebras06F07Quantum triads: an algebraic approachtext