References of "Teheux, Bruno"
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See detailAlgebraic approach to modal extensions of Łukasiewicz logics
Teheux, Bruno ULg

Doctoral thesis (2009)

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See detailA Duality for the Algebras of a Lukasiewicz n + 1-valued Modal System
Teheux, Bruno ULg

in Studia Logica (2007), 87(1), 13-36

We develop a duality for the varieties of a Lukasiewicz n + 1-valued modal system. This duality is an extension of Stone duality for modal algebras. Some logical consequences (such as completeness results ... [more ▼]

We develop a duality for the varieties of a Lukasiewicz n + 1-valued modal system. This duality is an extension of Stone duality for modal algebras. Some logical consequences (such as completeness results, correspondence theory. . . ) are the derived and we propose some ideas for future research. [less ▲]

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See detailLattice of subalgebras in the finitely generated varieties of MV-algebras
Teheux, Bruno ULg

in Discrete Mathematics (2007), 307(17-18), 2261-2275

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 ... [more ▼]

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. [less ▲]

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See detailNatural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
Mathonet, Pierre ULg; Niederkorn, Philippe; Teheux, Bruno ULg

in Algebra and Discrete Mathematics (2007), (1), 67--85

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 ... [more ▼]

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. [less ▲]

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See detailTreillis des sous-algèbres et opérateurs sur les MV-algèbres
Teheux, Bruno ULg

Master of advanced studies dissertation (2004)

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