论文标题
Leibniz代数的HNN延伸的出现方法
Operadic approach to HNN-extensions of Leibniz algebras
论文作者
论文摘要
我们在各种di-algebras中构建了lie di-algebras的hnn延伸，并为谎言di-algebras复制的hnn扩展提供了介绍。然后，通过将Gröbner-Shirshov碱基的方法应用于复制的代数，我们获得了线性基础。作为HNN延伸的应用，我们证明了lie di-gebras嵌入其HNN延伸中。
We construct HNN-extensions of Lie di-algebras in the variety of di-algebras and provide a presentation for the replicated HNN-extension of a Lie di-algebras. Then, by applying the method of Gröbner-Shirshov bases for replicated algebras, we obtain a linear basis. As an application of HNN-extensions, we prove that Lie di-algebras are embedded in their HNN-extension.
