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| 摘要: |
| 本文研究了保积BiHom-李color三系T的广义导子代数GDer(T)的定义及其一些重要性质.利用BiHom-李三系的广义导子的研究方法,构造出保积BiHom-李color三系T的拟导子代数Der(T)、 型心C(T)、 拟型心QC(T)和中心导子代数ZDer(T). 证明了中心导子代数ZDer(T)是 Der(T)的BiHom-理想,并且证明了[C(T), QC(T)]⊆End(T,Z(T)), 特别地, 若 Z(T)={0}, 则[C(T),QC(T)]={0}. |
| 关键词: BiHom-李color三系 广义导子 拟导子 型心 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:国家自然科学基金资助项目(11801121); 黑龙江省自然科学基金资助项目(QC2018006); 黑龙江省普通高校基本科研业务费资助项目(LGYC2018JC002) |
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| GENERALIZED DERIVATIONS OF MULTIPLICATIVE BIHOM-LIE COLOR TRIPLE SYSTEMS |
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SUN Ya-liang,CAO Yan
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| Abstract: |
| In this paper, we study the definition and important properties of the generalized derivation algebra GDer(T) of Multiplicative BiHom-Lie color triple systems T. Based on the generalized derivations of BiHom-Lie triple systems, we construct the quasi derivation algebra QDer(T), the centroid C(T) and the quasi centroid QC(T) and the central derivation algebra ZDer(T) of multiplicative BiHom-Lie color triple systems T. We prove the central derivation algebra ZDer(T) is BiHom-ideals of Der(T). Moreover, we also prove that [C(T),QC(T)]⊆End(T, Z(T)). In particular, if Z(T)={0}, then we have C(T), QC(T)]={0}. |
| Key words: BiHom-Lie color triple systems generalized derivations quasi derivations centroids |
