If either set is regular and the other is arbitrary, then the infinite quotient is regular.
2
本文证明了确定语言对与正则集的无穷次商封闭。
In this paper, we prove: the deterministic languages are closed under infinite quotient with the regular languages.
3
本文引入强s—闭空间的概念，用半正则集刻画了它的特征，并讨论了它的性质以及与其它空间的关系。
In this paper, we have introduced the concept of strong S-closed Spaces, have studied some fundamental properties and the relations between strong S-closed Spaces and other Spaces.
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