Structure of relatively free \(n\)-tuple semigroups

• Date: 2023
• Main Author: Zhuchok, A. V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: \(n\)-tuple semigroup; free \(n\)-tuple semigroup; relatively free \(n\)-tuple semigroup; semigroup; 08B20; 20M10; 20M50; 17A30; 17D99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2173
• Journal Title: Algebra and Discrete Mathematics

An \(n\)-tuple semigroup is an algebra defined on a set with \(n\) binary associative operations. This notion was considered by Koreshkov in the context of the theory of \(n\)-tuple algebras of associative type. The \(n > 1\) pairwise interassociative semigroups give rise to an \(n\)-tuple se...