Descending Chain Conditions on Leibniz Algebras
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911728329031680 |
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| author | Tcheka, Calvin Biyogmam, Guy R. N., Bell Bogmis Jacky III, Batkam Mbatchou V. |
| author_facet | Tcheka, Calvin Biyogmam, Guy R. N., Bell Bogmis Jacky III, Batkam Mbatchou V. |
| contents | In this work, we introduce a new class of Leibniz algebras, called quasi-Artinian Leibniz algebras, which generalizes the minimal condition on ideals. Furthermore, we provide some characterizations and give conditions under which a quasi-Artinian Leibniz algebra is Artinian. Finally, within the framework of Leibniz algebras, we establish a connection between prime ideals and the quasi-Artinian structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_29865 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Descending Chain Conditions on Leibniz Algebras Tcheka, Calvin Biyogmam, Guy R. N., Bell Bogmis Jacky III, Batkam Mbatchou V. Rings and Algebras 17A32, 17A36, 17B40, 18B99 In this work, we introduce a new class of Leibniz algebras, called quasi-Artinian Leibniz algebras, which generalizes the minimal condition on ideals. Furthermore, we provide some characterizations and give conditions under which a quasi-Artinian Leibniz algebra is Artinian. Finally, within the framework of Leibniz algebras, we establish a connection between prime ideals and the quasi-Artinian structure. |
| title | Descending Chain Conditions on Leibniz Algebras |
| topic | Rings and Algebras 17A32, 17A36, 17B40, 18B99 |
| url | https://arxiv.org/abs/2605.29865 |