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Characterization of clones of boolean operations by identities
Algebra and discrete mathematics, no. 2 (2007), pp. 70-90 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {Runglawan Butkote and Klaus Denecke},
     title = {Characterization of clones of boolean operations by identities},
     journal = {Algebra and discrete mathematics},
     pages = {70--90},
     year = {2007},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2007_2_a6/}
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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/