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/10993/3759
Lattice of subalgebras in the finitely generated varieties of MV-algebras
English
Teheux, Bruno mailto [Université de Liège - ULg > Mathématiques]
2007
Discrete Mathematics
Elsevier Science
307
17–18
2261 - 2275
Yes (verified by ORBilu)
International
0012-365X
Amsterdam
The Netherlands
[en] Subalgebra lattices ; MV-algebras ; Natrual 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.
Researchers
http://hdl.handle.net/10993/3759
10.1016/j.disc.2006.08.006
http://www.sciencedirect.com/science/article/pii/S0012365X06008648

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