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

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

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摘要 Abstract In this paper, the super t^-operators of Jordan superalgebras are introduced and the solutions of super Jordan Yang-Baxter equation are discussed by super б-operators. Then pre-Jordan superalgebras are studied as the algebraic structure behind the super б-operators. Moreover, the relations among Jordan superalgebras, pre-Jordan superalgebras, and dendriform superalgebras are established. Keywords Super б-operator, dendriform superalgebra, pre-Jordan superalgebra Abstract In this paper, the super t^-operators of Jordan superalgebras are introduced and the solutions of super Jordan Yang-Baxter equation are discussed by super б-operators. Then pre-Jordan superalgebras are studied as the algebraic structure behind the super б-operators. Moreover, the relations among Jordan superalgebras, pre-Jordan superalgebras, and dendriform superalgebras are established. Keywords Super б-operator, dendriform superalgebra, pre-Jordan superalgebra

作者 Junna NI Yan WANG Dongping HOU

机构地区 School of Mathematical Sciences Department of Mathematics Department of Mathematics

出处《Frontiers of Mathematics in China》 SCIE CSCD 2014年第3期585-599,共15页 中国高等学校学术文摘·数学（英文）

分类号 O122.2 [理学—基础数学] TM131 [电气工程—电工理论与新技术]

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Frontiers of Mathematics in China

2014年第3期

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

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