论文标题
Lazard的有限括号和前代数的新公式
A new formula for Lazard's correspondence for finite braces and pre-Lie algebras
论文作者
论文摘要
在本文中，对于有限的右nilpotent fp-braces和有限的nilpotent pre-lie代数代数，获得了简单的代数公式。这种对应关系使用Lazard在2014年Wolfgang Rump提出的有限fp-braces和前代代数之间的对应关系一致。作为一个应用示例，获得了由基础性P^4的一个元素生成的所有正确的nilpotent fp-braces的分类，从而回答了Leandro vendramin pos a Poss poss poss poss poss poss poss poss poss poss poss poss poss poss poss poss。 还表明，左撑杆中有限数量的左尼尔胸式理想的总和是左尼尔替理想的理想，因此每个有限的支撑都包含最大的左尼尔替体理想。
In this paper a simple algebraic formula is obtained for the correspondence between finite right nilpotent Fp-braces and finite nilpotent pre-Lie algebras. This correspondence agrees with the correspondence using Lazard's correspondence between finite Fp-braces and pre-Lie algebras proposed by Wolfgang Rump in 2014. As an application example, a classification of all right nilpotent Fp-braces generated by one element of cardinality p^4 is obtained, answering a question posed by Leandro Vendramin. It is also shown that the sum of a finite number of left nilpotent ideals in a left brace is a left nilpotent ideal, therefore every finite brace contains the largest left nilpotent ideal.
