论文标题
雅各布森谎言代数计划
Jacobson program for Lie algebras
论文作者
论文摘要
遵循戒指的结构理论方法，本文的目的是研究一些杰出的谎言代数类别。我们介绍了躺椅的概念，并与谎言代数的各种理想讨论了它的某些关系。我们给出了原始谎言代数的几种与座式模块相关的特征，并证明了由原始谎言代数的代数的代表定理。我们证明了密度定理。最后，我们重点介绍了代数在确定代数方面的核理想的重要性。
Following the structure theory approach for rings, the aim of this paper is to study some distinguished classes of Lie algebras. We introduce the notion of a Lie-module and discuss some relations of it with various classes of ideals of a Lie algebra. We give several Lie-module-related characterizations of primitive Lie algebras and prove a representation theorem of a Lie algebra in terms of primitive Lie algebras. We prove a density theorem. Finally, we highlight on the importance of nuclear ideals of prime and semiprime Lie algebras in determining them.
