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Hom-Malcev superalgebras |
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| Authors: | Jizhu Nan Chunyue Wang Qingcheng Zhang |
| Institution: | 1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China2. School of Applied Sciences, Jilin Teachers’ Institute of Engineering and Technology, Changchun 130052, China3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China |
| Abstract: | Hom-Malcev superalgebras can be considered as a deformation of Malcev superalgebras. We give the definition of Hom-Malcev superalgebras. Moreover, we characterize the Hom-Malcev operator and the representation of Hom-Malcev superalgebras. Finally, we study the central extension and the double extension of Hom-Malcev superalgebras. |
| Keywords: | Hom-Malcev superalgebra Hom-Malcev operator representation central extension double extension |
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