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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2019 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188496 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862699917596688384 |
|---|---|
| author | Tolue, B. Zolfaghari, P. Moghaddasi, Gh. |
| author_facet | Tolue, B. Zolfaghari, P. Moghaddasi, Gh. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T16:37:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188496 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:37:15Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Free ultra-groups, generators and relations Tolue, B. Zolfaghari, P. Moghaddasi, Gh. |
| title | 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_short | Free ultra-groups, generators and relations |
| title_sort | free ultra-groups, generators and relations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188496 |
| work_keys_str_mv | AT tolueb freeultragroupsgeneratorsandrelations AT zolfagharip freeultragroupsgeneratorsandrelations AT moghaddasigh freeultragroupsgeneratorsandrelations |