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Algebra and Discrete Mathematics, 2007, Issue 1, Pages 67–85 (Mi adm189)  
This article is cited in 1 scientific paper (total 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
Full-text PDF (295 kB) Citations (1)
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.
Received: 23.04.2007
Revised: 25.05.2007
Bibliographic databases:
Document Type: Article
MSC: 06D35; 08B
Language: English
Citation: P. Mathonet, P. Niederkorn, B. Teheux, “Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra”, Algebra Discrete Math., 2007, no. 1, 67–85
Citation in format AMSBIB
\Bibitem{MatNieTeh07}
\by P.~Mathonet, P.~Niederkorn, B.~Teheux
\paper Natural dualities for varieties generated by a~set of subalgebras of a~semi-primal algebra
\jour Algebra Discrete Math.
\yr 2007
\issue 1
\pages 67--85
\mathnet{http://mi.mathnet.ru/adm189}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2367516}
\zmath{https://zbmath.org/?q=an:1164.08005}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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