Decomposability of free Tarski algebras

被引:0
作者
J. Patricio Díaz Varela
Antoni Torrens
机构
[1] Universidad Nacional del Sud,Departamento de Matemática
[2] Universitat de Barcelona,Facultat de Matemàtica
来源
algebra universalis | 2003年 / 50卷
关键词
06F99, 08A30, 08B20.; Keywords:; Tarski algebras; implication algebras; free algebras; factor congruences; implicative filters;
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摘要
In this paper we study the direct decomposability of free Tarski algebras. We show that infinite freely generated Tarski algebras are directly indecomposable, whereas finite freely generated Tarski algebras can only be decomposed into a direct product of two factors, one of which is the two-element Tarski algebra.
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页码:1 / 5
页数:4
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