Decomposability of free Tarski algebras

被引：6

作者：

Díaz Varela, JP

Torrens, A

机构：

[1] Univ Nacl Sur, Dept Matemat, RA-8000 Bahia Blanca, Buenos Aires, Argentina

[2] Univ Barcelona, Fac Matemat, E-08007 Barcelona, Spain

来源：

ALGEBRA UNIVERSALIS | 2003年 / 50卷 / 01期

关键词：

Tarski algebras; implication algebras; free algebras; factor congruences; implicative filters;

D O I：

10.1007/s00012-003-1793-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1 / 5

页数：5