Derivations, 2-local derivations, biderivations and automorphisms of generalized Loop Heisenberg-Virasoro algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917038116569088 |
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| author | Ren, Qingyan Tang, Liming |
| author_facet | Ren, Qingyan Tang, Liming |
| contents | In this paper, the generalized Loop Heisenberg-Virasoro algebra is introduced. Firstly, we determine the derivations on the generalized Loop Heisenberg-Virasoro algebra. Then we show that all 2-local derivations are derivations. Furthermore, we determine the biderivations on the generalized Loop Heisenberg-Virasoro algebra are inner biderivations and give their applications. Finally, the automorphism groups on the generalized Loop Heisenberg-Virasoro algebra are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19247 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Derivations, 2-local derivations, biderivations and automorphisms of generalized Loop Heisenberg-Virasoro algebras Ren, Qingyan Tang, Liming Rings and Algebras In this paper, the generalized Loop Heisenberg-Virasoro algebra is introduced. Firstly, we determine the derivations on the generalized Loop Heisenberg-Virasoro algebra. Then we show that all 2-local derivations are derivations. Furthermore, we determine the biderivations on the generalized Loop Heisenberg-Virasoro algebra are inner biderivations and give their applications. Finally, the automorphism groups on the generalized Loop Heisenberg-Virasoro algebra are presented. |
| title | Derivations, 2-local derivations, biderivations and automorphisms of generalized Loop Heisenberg-Virasoro algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2503.19247 |