Geodesic
Characterization of clones of boolean operations by identities
Algebra and discrete mathematics, no. 2 (2007), pp. 70-90.

Voir la notice de l'article provenant de la source Math-Net.Ru

In [4] the authors characterized all clones of Boolean operations (Boolean clones) by functional terms. In this paper we consider a Galois connection between operations and equations and characterize all Boolean clones by using of identities. For each Boolean clone we obtain a set of equations with the property that an operation $f$ belongs to this clone if and only if it satisfies these equations.
Keywords: Clone of Boolean operations, identity
Mots-clés : Galois connection. 
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Runglawan Butkote; Klaus Denecke. Characterization of clones of boolean operations by identities. Algebra and discrete mathematics, no. 2 (2007), pp. 70-90. http://geodesic.mathdoc.fr/item/ADM_2007_2_a6/