Free ultra-groups, generators and relations
Algebra and discrete mathematics, Tome 28 (2019) no. 2, pp. 308-316
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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.
@article{ADM_2019_28_2_a12,
author = {Behnaz Tolue and Parvaneh Zolfaghari and Gholamreza Moghaddasi},
title = {Free ultra-groups, generators and relations},
journal = {Algebra and discrete mathematics},
pages = {308--316},
year = {2019},
volume = {28},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2019_28_2_a12/}
}
TY - JOUR AU - Behnaz Tolue AU - Parvaneh Zolfaghari AU - Gholamreza Moghaddasi TI - Free ultra-groups, generators and relations JO - Algebra and discrete mathematics PY - 2019 SP - 308 EP - 316 VL - 28 IS - 2 UR - http://geodesic.mathdoc.fr/item/ADM_2019_28_2_a12/ LA - en ID - ADM_2019_28_2_a12 ER -
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/
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