论文标题
从有限的牙套到前戒指的通道
On the passage from finite braces to pre-Lie rings
论文作者
论文摘要
令P为素数。我们表明，对于足够大的p，强烈的nilpotent括号与基数的nilpotent pre-lie戒指之间有一对一的对应关系。 此外，还有一个从左nilpotent pre-lie戒指集中到n+1 <p的左nilpotent括号$ p^{n} $的左nilpotent括号中的注入映射。对于从前环到牙套的段落，我们使用与[41]中建议的完全相同的方法。
Let p be a prime number. We show that there is a one-to-one correspondence between the set of strongly nilpotent braces and the set of nilpotent pre-Lie rings of cardinality $p^{n}$, for sufficiently large p. Moreover, there is an injective mapping from the set of left nilpotent pre-Lie rings into the set of left nilpotent braces of cardinality $p^{n}$ for n+1<p. For the passage from pre-Lie rings to braces we use exactly the same method as suggested in [41].
