从有限 brace 到预李环的过渡
环与代数
2022-04-29 v3
摘要
设 p 为一个素数。我们证明了对充分大的 p，强幂零 brace 的集合与基数为 的幂零预李环的集合之间存在一一对应。此外，对 n+1<p，存在从左幂零预李环的集合到基数为 的左幂零 brace 的集合的单射映射。对于从预李环到 brace 的过渡，我们使用的正是 [41] 中提出的相同方法。
引用
@article{arxiv.2202.00085,
title = {On the passage from finite braces to pre-Lie rings},
author = {Agata Smoktunowicz},
journal= {arXiv preprint arXiv:2202.00085},
year = {2022}
}
备注
arXiv admin note: text overlap with arXiv:2011.07611 Some assumptions were removed from Lemma 15 answering Question 3, also Question 3 was removed.A gap in the proof of Theorem 2 was corrected