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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| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2020
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/478 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543036236890112 |
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| author | Tolue, Behnaz Zolfaghari, Parvaneh Moghaddasi, Gholamreza |
| author_facet | Tolue, Behnaz Zolfaghari, Parvaneh Moghaddasi, Gholamreza |
| author_sort | Tolue, Behnaz |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-02-10T19:12:26Z |
| 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. |
| first_indexed | 2025-12-02T15:40:26Z |
| format | Article |
| id | admjournalluguniveduua-article-478 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:40:26Z |
| publishDate | 2020 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-4782020-02-10T19:12:26Z Free ultra-groups, generators and relations Tolue, Behnaz Zolfaghari, Parvaneh Moghaddasi, Gholamreza ultra-groups, presentation, free ultra-groups 20F05, 08C05 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. Lugansk National Taras Shevchenko University 2020-02-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/478 Algebra and Discrete Mathematics; Vol 28, No 2 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/478/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/478/209 Copyright (c) 2020 Algebra and Discrete Mathematics |
| spellingShingle | ultra-groups presentation free ultra-groups 20F05 08C05 Tolue, Behnaz Zolfaghari, Parvaneh Moghaddasi, Gholamreza Free ultra-groups, generators and relations |
| 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 |
| topic | ultra-groups presentation free ultra-groups 20F05 08C05 |
| topic_facet | ultra-groups presentation free ultra-groups 20F05 08C05 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/478 |
| work_keys_str_mv | AT toluebehnaz freeultragroupsgeneratorsandrelations AT zolfaghariparvaneh freeultragroupsgeneratorsandrelations AT moghaddasigholamreza freeultragroupsgeneratorsandrelations |