Free Algebras in Varieties of Glivenko MTL-algebras Satisfying the Equation 2(x2) = (2x)2

Studia Logica 83 (1-3):157-181 (2006)
  Copy   BIBTEX

Abstract

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 (generalizing the results of [9]) 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.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,139

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

On L∞κ-free Boolean algebras.Sakaé Fuchino, Sabine Koppelberg & Makoto Takahashi - 1992 - Annals of Pure and Applied Logic 55 (3):265-284.
Free nilpotent minimum algebras.Manuela Busaniche - 2006 - Mathematical Logic Quarterly 52 (3):219-236.
Free Łukasiewicz implication algebras.José Patricio Díaz Varela - 2008 - Archive for Mathematical Logic 47 (1):25-33.
Boolean Algebras in Visser Algebras.Majid Alizadeh, Mohammad Ardeshir & Wim Ruitenburg - 2016 - Notre Dame Journal of Formal Logic 57 (1):141-150.
Varieties of pseudo-interior algebras.Barbara Klunder - 2000 - Studia Logica 65 (1):113-136.

Analytics

Added to PP
2009-01-28

Downloads
46 (#322,899)

6 months
1 (#1,346,405)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Priestley Duality for Bilattices.A. Jung & U. Rivieccio - 2012 - Studia Logica 100 (1-2):223-252.
Dualities for modal N4-lattices.R. Jansana & U. Rivieccio - 2014 - Logic Journal of the IGPL 22 (4):608-637.
Bilattices with Implications.Félix Bou & Umberto Rivieccio - 2013 - Studia Logica 101 (4):651-675.
First-order Nilpotent minimum logics: first steps.Matteo Bianchi - 2013 - Archive for Mathematical Logic 52 (3-4):295-316.

View all 13 citations / Add more citations