(1) Departamento de Matemática , Universidad Nacional del Sud, Avenida Alem 1253, 8000 Bahía Blanca, Argentina;(2) Facultat de Matemàtica , Universitat de Barcelona, Gran Via 585, 08007 Barcelona, Spain
Abstract:
In this paper we study the direct decomposability of free Tarski algebras. Weshow that infinite freely generated Tarski algebras are directly indecomposable, whereasfinite freely generated Tarski algebras can only be decomposed into a direct product of twofactors, one of which is the two-element Tarski algebra.
