Expansion of codd algebra operations with recursive objects

In this paper, we discuss the relational algebra and recursive relationships between binary and ternary relationships in entity-relationshipmodeling. We define the interpretation of the recursive tables that can be applied to the complicated relationships having thesame participating entities. We propose a new approach to modeling that is suitable for representing self-similar objects and for creatinghierarchical structures. It combines methods of the set theory for the recursive relations within a single modeling paradigm, allowingusers to define self-similar, partially self-similar, or hierarchical systems in a consistent and flexible manner. The use of recursive relationshipsin the definitions of self-similar objects yields representations that can be rendered at varying levels of detail or precision atrun time.

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