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High Quality Content by WIKIPEDIA articles! In universal algebra and in model theory, a structure consists of a set along with a collection of finitary functions and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as groups, rings, fields, vector spaces and lattices. The term (universal) algebra is used for structures with no relation symbols. Model theory has a different scope that encompasses more arbitrary theories, including foundational structures such as models of set theory.