Construction of local nearrings using GAP
Using a programming language of GAP, we constructed a general algorithm which allows us to classify local nearrings of order \(32\) and higher. Moreover, some functions for local nearrings from the LocalNR package are provided.
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| Дата: | 2025 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2025
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2427 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-24272025-10-27T20:24:52Z Construction of local nearrings using GAP Sysak, Yaroslav Raievska, Iryna Raievska, Maryna nearring, nearring with identity, local nearring, GAP 16W30 Using a programming language of GAP, we constructed a general algorithm which allows us to classify local nearrings of order \(32\) and higher. Moreover, some functions for local nearrings from the LocalNR package are provided. Lugansk National Taras Shevchenko University This work was supported by a grant from the Simons Foundation (SFI-PD-Ukraine-00014586, Ya.P.S., I.Yu.R., M.Yu.R.) 2025-10-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2427 10.12958/adm2427 Algebra and Discrete Mathematics; Vol 40, No 1 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2427/pdf Copyright (c) 2025 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2025-10-27T20:24:52Z |
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OJS |
| language |
English |
| topic |
nearring nearring with identity local nearring GAP 16W30 |
| spellingShingle |
nearring nearring with identity local nearring GAP 16W30 Sysak, Yaroslav Raievska, Iryna Raievska, Maryna Construction of local nearrings using GAP |
| topic_facet |
nearring nearring with identity local nearring GAP 16W30 |
| format |
Article |
| author |
Sysak, Yaroslav Raievska, Iryna Raievska, Maryna |
| author_facet |
Sysak, Yaroslav Raievska, Iryna Raievska, Maryna |
| author_sort |
Sysak, Yaroslav |
| title |
Construction of local nearrings using GAP |
| title_short |
Construction of local nearrings using GAP |
| title_full |
Construction of local nearrings using GAP |
| title_fullStr |
Construction of local nearrings using GAP |
| title_full_unstemmed |
Construction of local nearrings using GAP |
| title_sort |
construction of local nearrings using gap |
| description |
Using a programming language of GAP, we constructed a general algorithm which allows us to classify local nearrings of order \(32\) and higher. Moreover, some functions for local nearrings from the LocalNR package are provided. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2025 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2427 |
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AT sysakyaroslav constructionoflocalnearringsusinggap AT raievskairyna constructionoflocalnearringsusinggap AT raievskamaryna constructionoflocalnearringsusinggap |
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2025-10-26T02:08:38Z |
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2025-10-28T02:44:44Z |
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