Dickson's theorem for Bol loops
Dickson characterized groups in terms of one-sided invertibility. In this note, we give comparable characterizations for Bol and Moufang loops.
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/323 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543255580114944 |
|---|---|
| author | Movsisyan, Yuri |
| author_facet | Movsisyan, Yuri |
| author_sort | Movsisyan, Yuri |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T02:43:18Z |
| description | Dickson characterized groups in terms of one-sided invertibility. In this note, we give comparable characterizations for Bol and Moufang loops. |
| first_indexed | 2026-02-08T08:00:19Z |
| format | Article |
| id | admjournalluguniveduua-article-323 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:00:19Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-3232018-04-26T02:43:18Z Dickson's theorem for Bol loops Movsisyan, Yuri left (right) Bol identity, left (right) quasigroup, quasigroup, loop, left (right) Moufang identity 20N05 Dickson characterized groups in terms of one-sided invertibility. In this note, we give comparable characterizations for Bol and Moufang loops. Lugansk National Taras Shevchenko University This research is supported by the State Committee of Science of the Republic of Armenia, grants: 10-3/1-41 and 15T-1A258. 2018-01-24 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/323 Algebra and Discrete Mathematics; Vol 24, No 2 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/323/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/323/132 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | left (right) Bol identity left (right) quasigroup quasigroup loop left (right) Moufang identity 20N05 Movsisyan, Yuri Dickson's theorem for Bol loops |
| title | Dickson's theorem for Bol loops |
| title_full | Dickson's theorem for Bol loops |
| title_fullStr | Dickson's theorem for Bol loops |
| title_full_unstemmed | Dickson's theorem for Bol loops |
| title_short | Dickson's theorem for Bol loops |
| title_sort | dickson's theorem for bol loops |
| topic | left (right) Bol identity left (right) quasigroup quasigroup loop left (right) Moufang identity 20N05 |
| topic_facet | left (right) Bol identity left (right) quasigroup quasigroup loop left (right) Moufang identity 20N05 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/323 |
| work_keys_str_mv | AT movsisyanyuri dicksonstheoremforbolloops |