关于斜 braces 及其理想(附 Agata Smoktunowicz 的附录)
环与代数
2021-09-08 v6 群论
量子代数
摘要
我们定义了有限斜 braces 的组合表示,并利用这一思想生成了一个小规模斜 braces 的数据库。随后使用该数据库探索斜 braces 理论中的不同概念,如理想、理想列、素理想与半素理想、Baer 根与 Wedderburn 根以及可解性。本文包含若干疑问。
引用
@article{arxiv.1804.04106,
title = {On skew braces and their ideals (with an Appendix by Agata Smoktunowicz)},
author = {A. Konovalov and A. Smoktunowicz and L. Vendramin},
journal= {arXiv preprint arXiv:1804.04106},
year = {2021}
}
备注
Statements of Lemma 4.27, Theorem 4.28, Corollary 4.29 and the second line of its proof were corrected - it is now written "two-sided brace" instead of "skew brace"