Lie n-centralizers of generalized matrix algebras
In this paper, we introduce the notion of Lie $ n $-centralizers. We then give a description of Lie $ n $-centralizers on a generalized matrix algebra and present the necessary and sufficient conditions for a Lie $ n $-centralizer to be proper. As applications, we determine generalized Lie $ n $-der...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023747?viewType=HTML |
| _version_ | 1827958283471683584 |
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| author | He Yuan Zhuo Liu |
| author_facet | He Yuan Zhuo Liu |
| author_sort | He Yuan |
| collection | DOAJ |
| description | In this paper, we introduce the notion of Lie $ n $-centralizers. We then give a description of Lie $ n $-centralizers on a generalized matrix algebra and present the necessary and sufficient conditions for a Lie $ n $-centralizer to be proper. As applications, we determine generalized Lie $ n $-derivations on a generalized matrix algebra and Lie $ n $-centralizers of some operator algebras. |
| first_indexed | 2024-04-09T15:34:16Z |
| format | Article |
| id | doaj.art-4a492af59d2b4c4798f6160236239d3c |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T15:34:16Z |
| publishDate | 2023-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-4a492af59d2b4c4798f6160236239d3c2023-04-28T01:19:51ZengAIMS PressAIMS Mathematics2473-69882023-04-0186146091462210.3934/math.2023747Lie n-centralizers of generalized matrix algebrasHe Yuan 0Zhuo Liu1 College of Mathematics and Computer, Jilin Normal University, Siping 136000, China College of Mathematics and Computer, Jilin Normal University, Siping 136000, ChinaIn this paper, we introduce the notion of Lie $ n $-centralizers. We then give a description of Lie $ n $-centralizers on a generalized matrix algebra and present the necessary and sufficient conditions for a Lie $ n $-centralizer to be proper. As applications, we determine generalized Lie $ n $-derivations on a generalized matrix algebra and Lie $ n $-centralizers of some operator algebras.https://www.aimspress.com/article/doi/10.3934/math.2023747?viewType=HTMLlie n-centralizergeneralized matrix algebrageneralized lie n-derivation |
| spellingShingle | He Yuan Zhuo Liu Lie n-centralizers of generalized matrix algebras AIMS Mathematics lie n-centralizer generalized matrix algebra generalized lie n-derivation |
| title | Lie n-centralizers of generalized matrix algebras |
| title_full | Lie n-centralizers of generalized matrix algebras |
| title_fullStr | Lie n-centralizers of generalized matrix algebras |
| title_full_unstemmed | Lie n-centralizers of generalized matrix algebras |
| title_short | Lie n-centralizers of generalized matrix algebras |
| title_sort | lie n centralizers of generalized matrix algebras |
| topic | lie n-centralizer generalized matrix algebra generalized lie n-derivation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023747?viewType=HTML |
| work_keys_str_mv | AT heyuan liencentralizersofgeneralizedmatrixalgebras AT zhuoliu liencentralizersofgeneralizedmatrixalgebras |