Super -operators of Jordan superalgebras and super Jordan Yang-Baxter equations |
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Authors: | Junna Ni Yan Wang Dongping Hou |
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Affiliation: | 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
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Abstract: | In this paper, the super -operators of Jordan superalgebras are introduced and the solutions of super Jordan Yang-Baxter equation are discussed by super -operators. Then pre-Jordan superalgebras are studied as the algebraic structure behind the super -operators. Moreover, the relations among Jordan superalgebras, pre-Jordan superalgebras, and dendriform superalgebras are established. |
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