The class of infinite dimensional neat reducts of quasi-polyadic algebras is not axiomatizable

被引：8
|
作者：
Ahmed, TS [1 ]
机构：
[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
来源：
MATHEMATICAL LOGIC QUARTERLY | 2006年 / 52卷 / 01期
关键词：
algebraic logic; quasi-polyadic algebra; neat reduct; elementary class;
D O I：
10.1002/malq.200510020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
SC, CA, QA and QEA denote the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasi-polyadic algebras and quasi-polyadic equality algebras, respectively. Let omega <= alpha < beta and let K is an element of {SC, CA, QA, QEA}. We show that the class of alpha-dimensional neat reducts of algebras in K-beta is not elementary. This solves a problem in [3]. Also our result generalizes results proved in [2] and [3]. (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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页码：106 / 112
页数：7
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