Free ultra-groups, generators and relations

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Authors: Tolue, B., Zolfaghari, P., Moghaddasi, Gh.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188496
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Free ultra-groups, generators and relations / B. Tolue, P. Zolfaghari, Gh. Moghaddasi // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 2. — С. 308–316. — Бібліогр.: 4 назв. — англ.

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...