Algebraic Properties of the Category of Q-P Quantale Modules

Shaohui LIANG

Abstract


In this paper, the definition of a Q-P quantale  module and some relative concepts were introduced. Based on which, some properties of the Q-P quantale module, and the structure of the free Q-P quantale  modules generated by a set were obtained. It was proved that the category of Q-P quantale modules is algebraic.

Keywords


Q-P quantale quantale modules; equalizer; Forgetful functor; Algebraic category

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DOI: http://dx.doi.org/10.3968/j.pam.1925252820130601.409

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