[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.
Disciplines :
Mathematics
Author, co-author :
Mathonet, Pierre ; Université de Liège - ULiège > Département de mathématique > Département de mathématique
Niederkorn, Philippe
Teheux, Bruno ; Université de Liège - ULiège > Département de mathématique > Algèbre et logique
Language :
English
Title :
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
Publication date :
2007
Journal title :
Algebra and Discrete Mathematics
ISSN :
1726-3255
eISSN :
2415-721X
Publisher :
Institute of Applied Mathematics And Mechanics of the National Academy of Sciences of Ukraine, Ukraine
