Free ultra-groups, generators and relations
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...
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| Дата: | 2019 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188496 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188496 |
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irk-123456789-1884962023-03-03T01:27:14Z Free ultra-groups, generators and relations Tolue, B. Zolfaghari, P. Moghaddasi, Gh. 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. 2019 Article 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. 1726-3255 2010 MSC: 20F05, 08C05. http://dspace.nbuv.gov.ua/handle/123456789/188496 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Tolue, B. Zolfaghari, P. Moghaddasi, Gh. |
| spellingShingle |
Tolue, B. Zolfaghari, P. Moghaddasi, Gh. Free ultra-groups, generators and relations Algebra and Discrete Mathematics |
| author_facet |
Tolue, B. Zolfaghari, P. Moghaddasi, Gh. |
| author_sort |
Tolue, B. |
| title |
Free ultra-groups, generators and relations |
| title_short |
Free ultra-groups, generators and relations |
| title_full |
Free ultra-groups, generators and relations |
| title_fullStr |
Free ultra-groups, generators and relations |
| title_full_unstemmed |
Free ultra-groups, generators and relations |
| title_sort |
free ultra-groups, generators and relations |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2019 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188496 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
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AT tolueb freeultragroupsgeneratorsandrelations AT zolfagharip freeultragroupsgeneratorsandrelations AT moghaddasigh freeultragroupsgeneratorsandrelations |
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2023-10-18T23:08:29Z |
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2023-10-18T23:08:29Z |
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