Representation of a Boolean algebra by its triangular norms.
Given a complete and atomic Boolean algebra B, there exists a family tau of triangular norms on B such that, under the partial ordering of triangular norms, tau is a Boolean algebra isomorphic to B, where gamma is the set of all atoms in B. In other words, as we have shown in this note, every complete and atomic Boolean algebra can be represented by its own triangular norms. What we have not shown in this paper is our belief that tau is not unique for B and that, for such a representation, B needs...