Abstract
This chapter discusses model-theoretic methods and results in the theory of cylindric algebras. The principal model-theoretic method exploited here is that of ultra-products. The model-theoretic results are connected with the equational character of the class of representable cylindric algebras and with the problem of finite axiomatizability of this class. class of representable three-dimensional cylindric algebras is not finitely axiomatizable. Proofs of some elementary facts about cylindric algebras may be found in Henkin.
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