Frontiers of Mathematics in China >

2014 , Vol. 9 >Issue 3: 567 - 584

DOI: https://doi.org/10.1007/s11464-014-0351-0

RESEARCH ARTICLE

Hom-Malcev superalgebras

  • Jizhu NAN 1 ,
  • Chunyue WANG 1,2 ,
  • Qingcheng ZHANG , 3
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  • 1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
  • 2. School of Applied Sciences, Jilin Teachers’ Institute of Engineering and Technology, Changchun 130052, China
  • 3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received date: 23 Nov 2013

Accepted date: 23 Dec 2013

Published date: 24 Jun 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Hom-Malcev superalgebra; Hom-Malcev operator; representation; central extension; double extension

Cite this article

Jizhu NAN , Chunyue WANG , Qingcheng ZHANG . Hom-Malcev superalgebras[J]. Frontiers of Mathematics in China, 2014 , 9(3) : 567 -584 . DOI: 10.1007/s11464-014-0351-0

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