On the structure of some Leibniz rings
In this paper, we study the fundamental properties of Leibniz rings. Special attention is given to the structure of Leibniz rings whose additive group is "small". The results obtained illustrate a significant difference between the classes of Leibniz rings and Lie rings.
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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/2426 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-2426 |
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oai:ojs.admjournal.luguniv.edu.ua:article-24262025-10-27T20:24:52Z On the structure of some Leibniz rings Kurdachenko, Leonid A. Pypka, Oleksandr O. Semko, Mykola M. Leibniz ring, Lie ring, Leibniz algebra, additive group of Leibniz ring 17A32, 17A60, 17A99 In this paper, we study the fundamental properties of Leibniz rings. Special attention is given to the structure of Leibniz rings whose additive group is "small". The results obtained illustrate a significant difference between the classes of Leibniz rings and Lie rings. Lugansk National Taras Shevchenko University 2025-10-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2426 10.12958/adm2426 Algebra and Discrete Mathematics; Vol 40, No 1 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2426/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2426/1338 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 |
Leibniz ring Lie ring Leibniz algebra additive group of Leibniz ring 17A32 17A60 17A99 |
| spellingShingle |
Leibniz ring Lie ring Leibniz algebra additive group of Leibniz ring 17A32 17A60 17A99 Kurdachenko, Leonid A. Pypka, Oleksandr O. Semko, Mykola M. On the structure of some Leibniz rings |
| topic_facet |
Leibniz ring Lie ring Leibniz algebra additive group of Leibniz ring 17A32 17A60 17A99 |
| format |
Article |
| author |
Kurdachenko, Leonid A. Pypka, Oleksandr O. Semko, Mykola M. |
| author_facet |
Kurdachenko, Leonid A. Pypka, Oleksandr O. Semko, Mykola M. |
| author_sort |
Kurdachenko, Leonid A. |
| title |
On the structure of some Leibniz rings |
| title_short |
On the structure of some Leibniz rings |
| title_full |
On the structure of some Leibniz rings |
| title_fullStr |
On the structure of some Leibniz rings |
| title_full_unstemmed |
On the structure of some Leibniz rings |
| title_sort |
on the structure of some leibniz rings |
| description |
In this paper, we study the fundamental properties of Leibniz rings. Special attention is given to the structure of Leibniz rings whose additive group is "small". The results obtained illustrate a significant difference between the classes of Leibniz rings and Lie rings. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2025 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2426 |
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AT kurdachenkoleonida onthestructureofsomeleibnizrings AT pypkaoleksandro onthestructureofsomeleibnizrings AT semkomykolam onthestructureofsomeleibnizrings |
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2025-10-26T02:08:38Z |
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2025-10-28T02:44:44Z |
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1848005463749165056 |