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

• Datum: 2018
• Hauptverfasser: Movsisyan, Yuri, Davidov, Sergey, Safaryan, Mher
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: dimonoid; \(\mathfrak{g}\)-dimonoid; free algebra; canonical form; 03C05; 08B20; 20M05
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1051
• Назва журналу: 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.)