Reference : Lattice of subalgebras in the finitely generated varieties of MV-algebras
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/536
Lattice of subalgebras in the finitely generated varieties of MV-algebras
English
Teheux, Bruno mailto [Université de Liège - ULg > Département de mathématique > Algèbre et logique >]
6-Aug-2007
Discrete Mathematics
Elsevier Science Bv
307
17-18
2261-2275
Yes (verified by ORBi)
International
0012-365X
Amsterdam
[en] subalgebra lattices ; MV-algebras ; natural duality
[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.
http://hdl.handle.net/2268/536
10.1016/j.disc.2006.08.006

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