360-367 Mutual Dependencies and Some Results on Undecomposable Relations. In this paper the new concept of mutual dependency in data base relations is introduced.
Mutual dependency appears as a generalization of functional and multivalued ones.
Furthermore, it provides a necessary and sufficient condition for a relation to be nonloss decomposable into three of its projections. Then, attention is paid to more general decompositions and a necessary and sufficient condition for a relation to be undecomposable is proven. Abstract used with permission. Dependency Structures of Data Base Relationships. A Complete Axiomatization for Functional and Multivalued Dependencies in Database Relations.