On one class of algebras

• Date: 2018
• Main Author: Zhuchok, Yuliia V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: dimonoid; \(g\)-dimonoid; free \(g\)-dimonoid; free \(n\)-nilpotent \(g\)-dimonoid; semigroup; congruence; 08B20; 20M10; 20M50; 17A30; 17A32
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1064
• Journal Title: Algebra and Discrete Mathematics

In this paper a \(g\)-dimonoid which is isomorphic to the free \(g\)-dimonoid is given and a free \(n\)-nilpotent \(g\)-dimonoid is constructed. We also present the least \(n\)-nilpotent congruence on a free \(g\)-dimonoid and give numerous examples of \(g\)-dimonoids.