DocumentCode
3393179
Title
Algebraic properties of the category of double quantale modules and its direct limit
Author
Shaohui Liang
Author_Institution
Dept. of Math., Xi´an Univ. of Sci. & Technol., Xi´an, China
fYear
2011
fDate
19-22 Aug. 2011
Firstpage
1043
Lastpage
1046
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on
Conference_Location
Jilin
Print_ISBN
978-1-61284-719-1
Type
conf
DOI
10.1109/MEC.2011.6025644
Filename
6025644
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