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A Note on Neat Reducts
Authors:Tarek Sayed Ahmed
Affiliation:(1) Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Abstract:SC, CA, QA and QEA denote the class of Pinter’s substitution algebras, Tarski’s cylindric algebras, Halmos’ quasi-polyadic and quasi-polyadic equality algebras, respectively. Let $${2 < n < m le omega}$$ . and $${K in {SC, CA, QA, QEA}}$$ . We show that the class of n dimensional neat reducts of algebras in K m is not elementary. This solves a problem in [2]. Also our result generalizes results proved in [1] and [2]. Presented by Robert Goldblatt
Keywords:Algebraic logic  cylindric algebras  neat reducts  elementary
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