论文标题
Hom-Lie代数的代数代数
Algebras of quotients of Hom-Lie algebras
论文作者
论文摘要
在本文中，我们介绍了代数代数的代数代数的概念，并研究了一些可以将其从hom-lie代数提起的特性到其商代数。我们还为具有代数代数的代数提供了一些必要和充分的条件。我们还研究了由相应的hom-lie代数的内部衍生物产生的hom-lie代数与商的联想代数之间的关系。此外，我们介绍了密集扩展的概念，并通过密集的扩展来获取有关商代数的命题。
In this paper, we introduce the notion of algebras of quotients of Hom-Lie algebras and investigate some properties which can be lifted from a Hom-Lie algebra to its algebra of quotients. We also give some necessary and sufficient conditions for Hom-Lie algebras having algebras of quotients. We also examine the relationship between a Hom-Lie algebra and the associative algebra generated by inner derivations of the corresponding Hom-Lie algebra of quotients. Moreover, we introduce the notion of dense extensions and get a proposition about Hom-Lie algebras of quotients via dense extensions.
