Frontiers of Mathematics in China >

2014 , Vol. 9 >Issue 3: 585 - 599

DOI: https://doi.org/10.1007/s11464-014-0339-9

RESEARCH ARTICLE

Super O-operators of Jordan superalgebras and super Jordan Yang-Baxter equations

  • Junna NI 1 ,
  • Yan WANG , 2 ,
  • Dongping HOU 3
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  • 1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • 2. Department of Mathematics, Tianjin University, Tianjin 300072, China
  • 3. Department of Mathematics, Yunnan Normal University, Kunming 650092, China

Received date: 12 Dec 2012

Accepted date: 27 Sep 2013

Published date: 24 Jun 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this paper, the super O-operators of Jordan superalgebras are introduced and the solutions of super Jordan Yang-Baxter equation are discussed by super O-operators. Then pre-Jordan superalgebras are studied as the algebraic structure behind the super O-operators. Moreover, the relations among Jordan superalgebras, pre-Jordan superalgebras, and dendriform superalgebras are established.

Key words： Super O-operator; dendriform superalgebra; pre-Jordan superalgebra

Cite this article

Junna NI , Yan WANG , Dongping HOU . Super O-operators of Jordan superalgebras and super Jordan Yang-Baxter equations[J]. Frontiers of Mathematics in China, 2014 , 9(3) : 585 -599 . DOI: 10.1007/s11464-014-0339-9

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