论文标题
从前戒指回到牙套
From pre-Lie rings back to braces
论文作者
论文摘要
让A为基数P^{n}，其中P> n+1是Prime，而ANN（p^{i}）在此支撑中最多是P^{i}的添加顺序元素集。 在[8]中构造了与支架A/ANN（P^{2}）相关的前环环。 我们表明，仅取决于支撑A的加性群体，该公式从[8]中逆转了构造。 作为一个应用程序示例，证明了支撑A/ANN（p^{4}）是左nilpotent pre-lie代数的流。
Let A be a brace of cardinality p^{n} where p>n+1 is prime, and ann(p^{i}) be the set of elements of additive order at most p^{i} in this brace. A pre-Lie ring related to the brace A/ann(p^{2}) was constructed in [8]. We show that there is a formula dependent only on the additive group of the brace A which reverses the construction from [8]. As an application example it is shown that the brace A/ann(p^{4}) is the group of flows of a left nilpotent pre-Lie algebra.
