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完全分配可交换子空间格代数上的非线性广义Lie导子

Nonlinear generalized Lie derivations on completely distributive commutative subspace lattice algebras
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摘要 设AlgL是Hilbert空间H上的一个完全分配可交换子空间格代数,f是AlgL上的非线性广义Lie导子,d是AlgL上与f相关的非线性映射,则f和d分别是可加广义导子和交换子上为零的映射之和。 Let AlgL be a completely distributive commutative subspace lattice algebra,f be a nonlinear generalized Lie derivation on AlgL with an associated nonlinear map d.Then f and d are the sum of an additive generalized derivation and a map into its center sending each commutator to zero,respectively.
作者 马飞 张建华 刘红哲 MA Fei;ZHANG Jianhua;LIU Hongzhe(College of Mathematics and Information Science,Xianyang Normal University,Xianyang 712000,China;College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China)
出处 《中山大学学报(自然科学版)(中英文)》 CAS CSCD 北大核心 2022年第4期170-177,共8页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 国家自然科学基金(11471199) 陕西省教育厅研究计划项目(19JK0929) 咸阳师范学院青蓝人才项目(XSYQL201801)。
关键词 完全分配可交换子空间格代数 非线性广义Lie导子 广义导子 completely distributive commutative subspace lattice algebra nonlinear generalized Lie derivation generalized derivation
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