Lattice of subalgebras in the finitely generated varieties of MV-algebras

Reference : Lattice of subalgebras in the finitely generated varieties of MV-algebras


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/3759

Title :	Lattice of subalgebras in the finitely generated varieties of MV-algebras
Language :	English
Author, co-author :	Teheux, Bruno [Université de Liège - ULg > Mathématiques]
Publication date :	2007
Journal title :	Discrete Mathematics
Publisher :	Elsevier Science
Volume :	307
Issue/season :	17–18
Pages :	2261 - 2275
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0012-365X
City :	Amsterdam
Country :	The Netherlands
Keywords :	[en] Subalgebra lattices ; MV-algebras ; Natrual duality
Abstract :	[en] In this paper, we use the theory of natural duality to study subalgebra lattices in the finitely generated varieties of MV-algebras. With this tool, we obtain the dual atomicity of these lattices, and characterize the members of these varieties in which every subalgebra is an intersection of maximal subalgebras. Then, we determine the algebras that have a modular or distributive lattice of subalgebras.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/3759
DOI :	10.1016/j.disc.2006.08.006
Other URL :	http://www.sciencedirect.com/science/article/pii/S0012365X06008648

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