中文摘要：

本文主要研究Q-模范畴.首先,证明一个完备格上的保任意并映射构成的集合在映射的复合运算和逐点序下构成一个Quantale.其次,借助Q-同态映射,定义一个新的范畴,即Q-同态范畴,并证明其与Q-模范畴同构.

英文摘要：

This paper focuses the topic about Q‐module .First ,it is proved that the set of all sup‐preserving maps on a complete lattice with composition and pointwise order is a Quantale . Then ,based on the maps of Q‐homomorphisms ,the category of Q‐homomorphisms is pro‐posed .Finally ,it is show n that the category of Q‐homomorphisms is categorically isomorphic to the category of Q‐modules .