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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2019 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188496 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-188496 |
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Tolue, B. Zolfaghari, P. Moghaddasi, Gh. 2023-03-02T19:36:05Z 2023-03-02T19:36:05Z 2019 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. https://nasplib.isofts.kiev.ua/handle/123456789/188496 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Free ultra-groups, generators and relations Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Free ultra-groups, generators and relations |
| spellingShingle |
Free ultra-groups, generators and relations Tolue, B. Zolfaghari, P. Moghaddasi, Gh. |
| 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 |
| author |
Tolue, B. Zolfaghari, P. Moghaddasi, Gh. |
| author_facet |
Tolue, B. Zolfaghari, P. Moghaddasi, Gh. |
| publishDate |
2019 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
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Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
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AT tolueb freeultragroupsgeneratorsandrelations AT zolfagharip freeultragroupsgeneratorsandrelations AT moghaddasigh freeultragroupsgeneratorsandrelations |
| first_indexed |
2025-12-07T16:37:15Z |
| last_indexed |
2025-12-07T16:37:15Z |
| _version_ |
1850868168176697344 |