Systems of quotients and Martindale-like quotients of Jordan-Lie triple systems
Systems of quotients and Martindale-like quotients of Jordan-Lie triple systems
复制标题
Jordan-Lie 三元系的商系统和类 Martindale 商
DOI：
10.1080/00927872.2021.1920028
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发表时间：
2021
影响因子：
0.7
通讯作者：
Liangyun Chen
中科院分区：
文献类型：
--
作者：
Chenrui Yao;Yao Ma;Liming Tang;Liangyun Chen
本文介绍了Jordan-Lie三系的商系的定义，并考察了从Jordan-Lie三系提升到Jordan-Lie三系的商系的重要性质。此外，还引入了Jordan-Lie三系关于稳健理想的功率滤子的类Martindale商系的概念，并研究了Jordan-Lie三系的商系与Jordan-Lie三系的Martindale-Like商系之间的关系。给出了关于δ-Lian-Lie代数商的代数的主要命题，强调了Jordan-Lie代数商的代数与Jordan-Lie三系的商系之间的关系。此外，还考虑了Jordan-Lie三元系T的似Martindale商系与其标准嵌入Jordan代数L(T)的似Martindale商的代数之间的一些联系。
This article is devoted to introducing the definition of systems of quotients of Jordan–Lie triple systems and surveying the vital properties which can be lifted from a Jordan–Lie triple system to systems of quotients of Jordan–Lie triple system. Furthermore, the notions of systems of Martindale-like quotients of a Jordan–Lie triple system with respect to a power filter of sturdy ideals are introduced and the relationship between the systems of quotients of a Jordan–Lie triple system and the systems of Martindale-like quotients of a Jordan–Lie triple system are investigated. What’s more, main propositions about algebras of quotients ofδJordan–Lie algebras are presented and the relationship between algebras of quotients of Jordan–Lie algebras and systems of quotients of Jordan–Lie triple systems are highlighted. Besides, some connections between systems of Martindale-like quotients of a Jordan–Lie triple systemTand algebras of Martindale-like quotients of its standard embedding Jordan algebraL(T) are considered, too.