On Cylindric Algebras Satisfying Merry-go-round Properties

Logic Journal of the IGPL 15 (2):183-197 (2007)
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Abstract

Three classes are introduced which are closely related to the class included in the title. It is proven that the class obtained from by replacing axiom C4 by the commutativity of single substitutions can be considered as the abstract class in the Resek–Thompson theorem, thus it is representable by set algebras. Then the class is defined and it is shown that the necessary and sufficient condition for neat embeddability of an algebra in CAα into is the validity of the merry-go-round properties. Finally, the class is introduced which class is a counterpart of among the polyadic like algebras

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10.1093/jigpal/jzm006

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A note on substitutions in representable cylindric algebras.Tarek Sayed Ahmed - 2009 - Mathematical Logic Quarterly 55 (3):280-287.

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