摘要: Inclusion systems have been introduced in algebraic specification theory as a categorical structure supporting the development of general abstract logic-independent approach to algebra (or programming) modules. Here we extend concept indexed categories and their Grothendieck flattenings inclusion systems. An important practical significance resulting is that they allow module algebras for multi-logic heterogeneous frameworks. At another level, show several use some syntactic (signatures, deductive theories) or semantic contexts (models) appear too. We also study properties