Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra

• Date: 2018
• Main Authors: Mathonet, P., Niederkorn, P., Teheux, B.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: MV-algebras; Natural duality; Semi-primal algebras; 06D35; 08B
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/836
• Journal Title: Algebra and Discrete Mathematics

The main contribution of this paper is the construction of a strong duality for the varieties generated by a set of subalgebras of a semi-primal algebra. We also obtain an axiomatization of the objects of the dual category and develop some algebraic consequences (description of the dual of the finit...