This article is cited in 1 paper

RESEARCH ARTICLE

Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra

P. Mathonet, P. Niederkorn, B. Teheux

University of Liège, Department of Mathematics, Grande Traverse, 12, Liège 4000, Belgium

Abstract: 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,\ldots). Eventually, we illustrate this work for the finitely generated varieties of MV-algebras.

Keywords: MV-algebras, Natural duality, Semi-primal algebras.

MSC: 06D35; 08B

Received: 23.04.2007
Revised: 25.05.2007

Language: English

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