关于取逆闭的子环
Subrings which are closed with respect to taking the inverse
摘要：
设S是环R的一个子环.我们研究的问题，是否S U（R）等于U（S）的单位成立。在许多情况下，我们的答案是肯定的。有一个特别强调的情况下，当R是一个完整的矩阵环和S是一个结构子环的R定义的自反和传递关系。
英文摘要：
Let S be a subring of the ring R. We investigate the question of whether S intersected by U(R) is equal to U(S) holds for the units. In many situations our answer is positive. There is a special emphasis on the case when R is a full matrix ring and S is a structural subring of R defined by a reflexive and transitive relation.
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。
