Title :
Algebraic properties of the category of double quantale modules and its direct limit
Author_Institution :
Dept. of Math., Xi´an Univ. of Sci. & Technol., Xi´an, China
Abstract :
This paper is to apply the methods of category theory to investigate double quantale modules properties, the definition of a double quantale module and some relative concepts were introduced. Based on which, some properties of the double quantale module, and the structure of the free double quantale modules generated by a set were obtained. It was proved that the category of double quantale modules is algebraic. Also, the structure of direct limit of the category of double quantale modules was given.
Keywords :
algebra; category theory; formal logic; quantum theory; algebraic property; category theory; double quantale modules; quantum logic; Educational institutions; Equalizers; Lattices; Modules (abstract algebra); Upper bound; algebraic category; direct limit; equalizer; forgetful functor; quantale modules;
Conference_Titel :
Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on
Conference_Location :
Jilin
Print_ISBN :
978-1-61284-719-1
DOI :
10.1109/MEC.2011.6025644
