【摘要】 首先定义了集合上的闭包算子,研究了闭包算子的若干性质;其次给出了序半群的Quantale完备化,证明了序半群的Quantale完备化在同构意义下完全由序半群上的拓扑闭包决定;最后给出了序半群Quantale完备化的一个应用.更多还原

【Abstract】 Firstly,the concept of closure operator on a set is introduced;some prop- erties of closure operator were obtained.Secondly,the quantale completion of ordered semigroup is given;it was proved that the quantale completions of ordered semigroup up to isomorphism were completely determined by topological closure operators on ordered semigroup.Finally,an application of the quantale completion of ordered semi- group is given.更多还原