Reference : Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/13119
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
English
Mathonet, Pierre mailto [Université de Liège - ULg > Département de mathématique > Département de mathématique >]
Niederkorn, Philippe [> > > >]
Teheux, Bruno mailto [Université de Liège - ULg > Département de mathématique > Algèbre et logique >]
2007
Algebra and Discrete Mathematics
1
67--85
Yes
International
1726-3255
[en] MV-algebras ; Natural duality ; Semi primal algebras
[en] The main contribution of this paper is the construction of a strong duality for the varieties generated by a set of subalgebras of a semi-primal algebra. We also obtain an axiomatization of the objects of the dual category and develop some algebraic consequences (description of the dual of the finite structures and algebras, construction of finitely generated free algebras,. . . ). Eventually, we illustrate this work for the finitely generated varieties of MV-algebras.
http://hdl.handle.net/2268/13119
http://adm.lnpu.edu.ua/downloads/issues/2007/N1/adm-n1-7.pdf

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