On embedding groups into digroups

• Date: 2025
• Main Authors: Zhuchok, Yurii V., Pilz, Guenter F., Zhuchok, Anatolii V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: semigroup; group; dimonoid; digroup; congruence
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2364
• Journal Title: Algebra and Discrete Mathematics

An idea of the notion of a digroup which generalizes groups and has close relationships with the dimonoids, trioids, Leibniz algebras and other structures was proposed by J.-L. Loday. In terms of digroups, Kinyon obtained an analogue of Lie’s third theorem for the class of so-called split Leibniz al...