On the Cartesian product of the Menger algebras of terms and relational formulas

• Date: 2025
• Main Author: Kumduang, Thodsaporn
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: semigroup; term; relational formula; operation; 2-potent; 20M10; 08A05; 08A40
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2321
• Journal Title: Algebra and Discrete Mathematics

A relational formula which is a first-order formula that only uses relation symbols and terms of arbitrary type is one of the important concepts in the study of algebras and algebraic systems. In this paper, necessary and sufficient conditions for any element in a semigroup whose universe arises fro...