Theoretical Mathematics & Applications

The limit in the category of Q-P quantale modules

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  •                                                     Abstract

    In this paper, firstly, the definition of Q-P quantale modules and some relative concepts were introduced. we prove that the category of Q-P quantale modules is a pointed and connected category. Based on which, we give the structure of the limit of this category, so it is complete. Secondly, we talk about some properties of the inverse systems of the category of Q-P quantale modules, we construct the inverse limit of the category of Q-P quantale modules. Introducing the definition of a mapping between two inverse systems, we get the limit mapping in the category of Q-P quantale modules. At last, The definition of bimorphism of Q-P quantale modules is given.