Abstract: The main purpose is to give the ways of constructing coherent Quantale, and to investigate the relation between these coherent Quantale; it is proved that the category of coherent Quantale is a reflective subcategory of the category of m-semilattices.

Key words: ordered semigroup, Quantale, coherent Quantale, m-semilattice

摘要： 主要给出了凝聚式Quantale的具体构造，讨论了它们之间的关系；证明了凝聚式Quantale范畴是[m-]半格范畴的反射子范畴。

关键词: 序半群, Quantale, 凝聚式Quantale, [m-]半格