Archive for Mathematical Logic 45 (8):1011-1020 (2006)

Abstract
Łukasiewicz implication algebras are {→,1}-subreducts of Wajsberg algebras (MV-algebras). They are the algebraic counterpart of Super-Łukasiewicz Implicational logics investigated in Komori, Nogoya Math J 72:127–133, 1978. The aim of this paper is to study the direct decomposability of free Łukasiewicz implication algebras. We show that freely generated algebras are directly indecomposable. We also study the direct decomposability in free algebras of all its proper subvarieties and show that infinitely freely generated algebras are indecomposable, while finitely free generated algebras can be only decomposed into a direct product of two factors, one of which is the two-element implication algebra
Keywords Free algebras  Factor congruences  Implicative filters  BCK-algebras  MV-algebras
Categories (categorize this paper)
DOI 10.1007/s00153-006-0023-1
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 63,323
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Semi-Boolean Algebra.[author unknown] - 1972 - Journal of Symbolic Logic 37 (1):191-191.

Add more references

Citations of this work BETA

Free Łukasiewicz Implication Algebras.José Patricio Díaz Varela - 2008 - Archive for Mathematical Logic 47 (1):25-33.

Add more citations

Similar books and articles

Analytics

Added to PP index
2013-11-23

Total views
10 ( #872,339 of 2,448,724 )

Recent downloads (6 months)
1 ( #445,641 of 2,448,724 )

How can I increase my downloads?

Downloads

My notes