Geodesic
Free ultra-groups, generators and relations
Algebra and discrete mathematics, Tome 28 (2019) no. 2, pp. 308-316

Voir la notice de l'article provenant de la source Math-Net.Ru

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 computational approach for finitely presented ultra-groups by quotient ultra-groups and subultra-groups is described and some examples are presented. It is the way that can clarify the structure of an ultra-group quicker than having just a list of elements.
Keywords: ultra-groups, presentation, free ultra-groups. 
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     author = {Behnaz Tolue and Parvaneh Zolfaghari and Gholamreza Moghaddasi},
     title = {Free ultra-groups, generators and relations},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2019_28_2_a12/}
}
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Behnaz Tolue; Parvaneh Zolfaghari; Gholamreza Moghaddasi. Free ultra-groups, generators and relations. Algebra and discrete mathematics, Tome 28 (2019) no. 2, pp. 308-316. http://geodesic.mathdoc.fr/item/ADM_2019_28_2_a12/