Characterization of clones of boolean operations by identities

• Date: 2018
• Main Authors: Butkote, Runglawan, Denecke, Klaus
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Clone of Boolean operations; identity; Galois connection; 03B05; 03C05; 08B05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/844
• Journal Title: Algebra and Discrete Mathematics

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...