Free ultra-groups, generators and relations

• Date: 2020
• Main Authors: Tolue, Behnaz, Zolfaghari, Parvaneh, Moghaddasi, Gholamreza
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: ultra-groups; presentation; free ultra-groups; 20F05; 08C05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/478
• Journal Title: Algebra and Discrete Mathematics

In this paper, we intend to define an ultra-group by its presentation. The attitude of the presentation for a group was the key for us to investigate in this area. Instead of writing whole elements of an ultra-group, we denote it by its generators and the relations among those generators. A general...