Super -operators of Jordan superalgebras and super Jordan Yang-Baxter equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Junna Ni Yan Wang Dongping Hou

Institution:	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

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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