Clones of full terms

• Date: 2018
• Main Authors: Denecke, Klaus, Jampachon, Prakit
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Clone; unitary Menger algebra of type \(\tau_n\); full hyperidentity; n-F-solid variety; 08A40; 08A60; 08A02; 20M35
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1007
• Journal Title: Algebra and Discrete Mathematics

In this paper the well-known connection between hyperidentities of an algebra and identities satisfied by the clone of this algebra is studied in a restricted setting, that of \(n\)-ary full hyperidentities and identities of the \(n\)-ary clone of term operations which are induced by full terms. We...