Characterization of clones of boolean operations by identities

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2007
• Hauptverfasser: Butkote, R., Denecke, K.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/157376
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Characterization of clones of boolean operations by identities / R. Butkote, K. Denecke // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 70–90. — Бібліогр.: 6 назв. — англ.

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 wi...