학술논문
Algebraic properties of the category of double quantale modules and its direct limit
Document Type
Conference
Author
Source
2011 International Conference on Mechatronic Science, Electric Engineering and Computer (MEC) Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on. :1043-1046 Aug, 2011
Subject
Language
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.