拟序格的大滤子可由少数元素生成
环与代数
2024-02-26 v4
摘要
对于偏序集 ，扩充偏序“”的拟序（亦称预序）构成一个完备格 ，它是集合 上所有拟序之格中的一个滤子。我们证明：若偏序“”是小的，则 可由少数元素生成。
引用
@article{arxiv.2302.13911,
title = {Large filters of quasiorder lattices can be generated by few elements},
author = {Gábor Czédli},
journal= {arXiv preprint arXiv:2302.13911},
year = {2024}
}
备注
18 pages, 2 figures. An error has been corrected and the theorem is stated in a new form. Furthermore, arXiv:2303.10790 made the cryptographic section superfluous, so this section has been omitted