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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2012, Issue 3, Pages 14–16 (Mi uzeru142)  
This article is cited in 9 scientific papers (total in 9 papers)

Mathematics

A functional representation of free De Morgan algebras

Yu. M. Movsisyan, V. A. Aslanyan

Chair of Algebra and Geometry of YSU, Armenia
Full-text PDF (199 kB) Citations (9)
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Abstract: 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: antichain, monotone Boolean function, De Morgan function, free De Morgan algebra.
Received: 23.06.2012
Accepted: 28.08.2012
Document Type: Article
Language: English
Citation: Yu. M. Movsisyan, V. A. Aslanyan, “A functional representation of free De Morgan algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 2012, no. 3, 14–16
Citation in format AMSBIB
\Bibitem{MovAsl12}
\by Yu.~M.~Movsisyan, V.~A.~Aslanyan
\paper A functional representation of free De Morgan algebras
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2012
\issue 3
\pages 14--16
\mathnet{http://mi.mathnet.ru/uzeru142}
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    • This publication is cited in the following 9 articles:
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    		Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
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