Geodesic
A functional representation of free De Morgan algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2012), pp. 14-16

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It is well known that free Boolean algebra on $n$ free generators is isomorphic to the Boolean algebra of Boolean functions of $n$ variables. The free distributive lattice on $n$ free generators is isomorphic to the lattice of monotone Boolean functions of $n$ variables. In this paper we introduce the concept of De Morgan function and prove that the free De Morgan algebra on $n$ free generators is isomorphic to the De Morgan algebra of De Morgan functions of $n$ variables.
Keywords: monotone Boolean function, De Morgan function, free De Morgan algebra.
Mots-clés : antichain 
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Yu. M. Movsisyan; V. A. Aslanyan. A  functional representation of  free  De Morgan  algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2012), pp. 14-16. http://geodesic.mathdoc.fr/item/UZERU_2012_3_a2/