群与向量空间中的局部匹配性
On local matchability in groups and vector spaces
摘要：
在本文中，我们定义了局部匹配子集的一个组，这是从组中的匹配的概念提取，并作为一种工具，给现有的结果在匹配理论的替代证明。我们还给出了域扩张中子空间的局部匹配性的线性模拟。我们的工具混合了加性数论、组合数学和代数
英文摘要：
In this paper, we define locally matchable subsets of a group which is extracted from the concept of matchings in groups and used as a tool to give alternative proofs for existing results in matching theory. We also give the linear analogue of locally matchability for subspaces in a field extension. Our tools mix additive number theory, combinatorics and algebra
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
