Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements
The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements. We prove that under certain conditions, a nonlinear Jordan derivable mapping Δ of a generalized matrix algebra by Lie product sq...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/2065425 |
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| _version_ | 1850220779336105984 |
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| author | Xiuhai Fei Haifang Zhang |
| author_facet | Xiuhai Fei Haifang Zhang |
| author_sort | Xiuhai Fei |
| collection | DOAJ |
| description | The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements. We prove that under certain conditions, a nonlinear Jordan derivable mapping Δ of a generalized matrix algebra by Lie product square-zero elements is a sum of an additive derivation δ and an additive antiderivation f. Moreover, δ and f are uniquely determined. |
| format | Article |
| id | doaj-art-7bdec2777e714c8d997b4ef9271838ed |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7bdec2777e714c8d997b4ef9271838ed2025-08-20T02:06:57ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/20654252065425Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero ElementsXiuhai Fei0Haifang Zhang1School of Mathematics and Physics, West Yunnan University, Lingcang 677099, ChinaSchool of Mathematics and Physics, West Yunnan University, Lingcang 677099, ChinaThe aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements. We prove that under certain conditions, a nonlinear Jordan derivable mapping Δ of a generalized matrix algebra by Lie product square-zero elements is a sum of an additive derivation δ and an additive antiderivation f. Moreover, δ and f are uniquely determined.http://dx.doi.org/10.1155/2021/2065425 |
| spellingShingle | Xiuhai Fei Haifang Zhang Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements Journal of Mathematics |
| title | Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements |
| title_full | Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements |
| title_fullStr | Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements |
| title_full_unstemmed | Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements |
| title_short | Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements |
| title_sort | nonlinear jordan derivable mappings of generalized matrix algebras by lie product square zero elements |
| url | http://dx.doi.org/10.1155/2021/2065425 |
| work_keys_str_mv | AT xiuhaifei nonlinearjordanderivablemappingsofgeneralizedmatrixalgebrasbylieproductsquarezeroelements AT haifangzhang nonlinearjordanderivablemappingsofgeneralizedmatrixalgebrasbylieproductsquarezeroelements |