Leibniz rings: some basic and structural results
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912551823998976 |
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| author | Kurdachenko, L. A. Pypka, O. O. Semko, M. M. |
| author_facet | Kurdachenko, L. A. Pypka, O. O. Semko, M. M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Leibniz rings: some basic and structural results Kurdachenko, L. A. Pypka, O. O. Semko, M. M. Rings and Algebras Group Theory 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. |
| title | Leibniz rings: some basic and structural results |
| topic | Rings and Algebras Group Theory |
| url | https://arxiv.org/abs/2508.17319 |