Construction of free \(\mathfrak{g}\)-dimonoids

• Date: 2018
• Main Authors: Movsisyan, Yuri, Davidov, Sergey, Safaryan, Mher
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: dimonoid; \(\mathfrak{g}\)-dimonoid; free algebra; canonical form; 03C05; 08B20; 20M05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1051
• Journal Title: Algebra and Discrete Mathematics

In this paper, the concept of a \(\mathfrak{g}\)-dimonoid is introduced and the construction of a free \(\mathfrak{g}\)-dimonoid is described. (A \(\mathfrak{g}\)-dimonoid is a duplex satisfying two additional identities.)