On Generalized Jordan Prederivations and Generalized Prederivations of Lie Superalgebras
The concepts of (generalized) (θ,φ)-prederivations and (generalized) Jordan (θ,φ)-prederivations on a Lie superalgebra are introduced. It is proved that Jordan (θ,φ)-prederivations (resp., generalized Jordan (θ,φ)-prederivations) are (θ,φ)-prederivations (resp., generalized (θ,φ)-prederivations) on...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/401238 |
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| _version_ | 1841524543508709376 |
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| author | Yao Ma Liangyun Chen |
| author_facet | Yao Ma Liangyun Chen |
| author_sort | Yao Ma |
| collection | DOAJ |
| description | The concepts of (generalized) (θ,φ)-prederivations and (generalized) Jordan (θ,φ)-prederivations on a Lie superalgebra are introduced. It is proved that Jordan (θ,φ)-prederivations (resp., generalized Jordan (θ,φ)-prederivations) are (θ,φ)-prederivations (resp., generalized (θ,φ)-prederivations) on a Lie superalgebra under some conditions. In particular, Jordan θ-prederivations are θ-prederivations on a Lie superalgebra. |
| format | Article |
| id | doaj-art-5d0c2894ecf14a2ea8eaa3a5dc65dcc1 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-5d0c2894ecf14a2ea8eaa3a5dc65dcc12025-02-03T05:52:52ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/401238401238On Generalized Jordan Prederivations and Generalized Prederivations of Lie SuperalgebrasYao Ma0Liangyun Chen1School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaThe concepts of (generalized) (θ,φ)-prederivations and (generalized) Jordan (θ,φ)-prederivations on a Lie superalgebra are introduced. It is proved that Jordan (θ,φ)-prederivations (resp., generalized Jordan (θ,φ)-prederivations) are (θ,φ)-prederivations (resp., generalized (θ,φ)-prederivations) on a Lie superalgebra under some conditions. In particular, Jordan θ-prederivations are θ-prederivations on a Lie superalgebra.http://dx.doi.org/10.1155/2014/401238 |
| spellingShingle | Yao Ma Liangyun Chen On Generalized Jordan Prederivations and Generalized Prederivations of Lie Superalgebras Advances in Mathematical Physics |
| title | On Generalized Jordan Prederivations and Generalized Prederivations of Lie Superalgebras |
| title_full | On Generalized Jordan Prederivations and Generalized Prederivations of Lie Superalgebras |
| title_fullStr | On Generalized Jordan Prederivations and Generalized Prederivations of Lie Superalgebras |
| title_full_unstemmed | On Generalized Jordan Prederivations and Generalized Prederivations of Lie Superalgebras |
| title_short | On Generalized Jordan Prederivations and Generalized Prederivations of Lie Superalgebras |
| title_sort | on generalized jordan prederivations and generalized prederivations of lie superalgebras |
| url | http://dx.doi.org/10.1155/2014/401238 |
| work_keys_str_mv | AT yaoma ongeneralizedjordanprederivationsandgeneralizedprederivationsofliesuperalgebras AT liangyunchen ongeneralizedjordanprederivationsandgeneralizedprederivationsofliesuperalgebras |