Characterization of $n$-Lie Derivations on Generalized Matrix Algebras
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910036417052672 |
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| author | Liang, Xinfeng Wang, Minghao Wei, Feng |
| author_facet | Liang, Xinfeng Wang, Minghao Wei, Feng |
| contents | The principal objective of this paper is to determine the structure of $n$-Lie derivations ($n\geq 3$) on generalized matrix algebras.It is shown that under certain mild assumptions, every $n$-Lie derivation can be decomposed into the sum of an extremal $n$-derivation and an $n$-linear centrally-valued mapping. As direct applications, we provide complete characterizations of $n$-Lie derivations on both full matrix algebras and triangular algebras. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_22774 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characterization of $n$-Lie Derivations on Generalized Matrix Algebras Liang, Xinfeng Wang, Minghao Wei, Feng Rings and Algebras 16W25, 15A78, 47L35 The principal objective of this paper is to determine the structure of $n$-Lie derivations ($n\geq 3$) on generalized matrix algebras.It is shown that under certain mild assumptions, every $n$-Lie derivation can be decomposed into the sum of an extremal $n$-derivation and an $n$-linear centrally-valued mapping. As direct applications, we provide complete characterizations of $n$-Lie derivations on both full matrix algebras and triangular algebras. |
| title | Characterization of $n$-Lie Derivations on Generalized Matrix Algebras |
| topic | Rings and Algebras 16W25, 15A78, 47L35 |
| url | https://arxiv.org/abs/2601.22774 |