Artículos de revistas
Free algebras in varieties of Glivenko MTL-algebras satisfying the equation 2(x^2) = (2x)^2
Fecha
2006-12Registro en:
Cignoli, Roberto Leonardo Oscar; Torrens Torrell, Antoni; Free algebras in varieties of Glivenko MTL-algebras satisfying the equation 2(x^2) = (2x)^2; Springer; Studia Logica; 83; 1-3; 12-2006; 157-181
0039-3215
CONICET Digital
CONICET
Autor
Cignoli, Roberto Leonardo Oscar
Torrens Torrell, Antoni
Resumen
The aim of this paper is to give a description of the free algebras in some varieties of Glivenko MTL-algebras having the Boolean retraction property. This description is given in terms of weak Boolean products over Cantor spaces. We prove that in some cases the stalks can be obtained in a constructive way from free kernel DL-algebras, which are the maximal radical of directly indecomposable Glivenko MTL-algebras satisfying the equation in the title. We include examples to show how we can apply the results to describe free algebras in some well known varieties of involutive MTL-algebras and of pseudocomplemented MTL-algebras.