【摘要】 定义半结合3-代数的双模,并研究其双模结构和正则双模结构.对任意一个半结合3-代数(A,{,,}),证明A的三元运算{,,}的循环和[,,]_c是线性空间A上的3-李运算,并研究半结合3-代数的导子与其伴随3-李代数的导子之间的关系.更多还原

【Abstract】 The double module of semi-associative 3-algebras was defined, and the structure of double modules and regular double modules of semi-associative 3-algebras were studied. We prove that for any semi-associative 3-algebra(A,{,,}), the cycle sum [,,]_c of the multiplication {,,} is a 3-Lie multiplication on A, and study the relation between derivations of(A,{,,}) and(A,[,,]_c).更多还原