【摘要】 该文主要研究Q-值下集Quantale,它可以看作是下集Quantale的一般形式.首先证明了序半群范畴与超凝聚式Quantale范畴是等价的；其次证明了Q-值下集Quantale F_Q(S)本质上就是下集Quantale D(S)和Quantale Q的张量积.更多还原

【Abstract】 The main work of this paper is to investigate Q-valued lower-set Quantales, which can be regarded as a generalization of lower-set Quantales.Firstly, it is proved that the category of ordered semigroups is equivalent to the category of supercoherent Quantales.Then, it is proved that Q-valued lower-set Quantales are essentially the tensor product of lower-set Quantales and Quantale Q.更多还原