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

• Дата: 2023
• Автор: Zhuchok, A. V.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2023
• Теми: \(n\)-tuple semigroup; free \(n\)-tuple semigroup; relatively free \(n\)-tuple semigroup; semigroup; 08B20; 20M10; 20M50; 17A30; 17D99
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2173
• Назва журналу: 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...