论文标题
完整的莱布尼兹代数
Complete Leibniz Algebras
论文作者
论文摘要
Leibniz代数是谎言代数的肯定概括。自然地将lie代数的概念概括为莱布尼兹代数并研究相应的结果是否仍然存在。在本文中,我们介绍了完全莱布尼兹代数的概念,作为完全代数的概括。然后,我们研究完整的Leibniz代数及其Holomorphs的特性。
Leibniz algebras are certain generalization of Lie algebras. It is natural to generalize concepts in Lie algebras to Leibniz algebras and investigate whether the corresponding results still hold. In this paper we introduce the notion of complete Leibniz algebras as generalization of complete Lie algebras. Then we study properties of complete Leibniz algebras and their holomorphs.