The limit and tensor product in the category of Q-P quantale modules. (3rd March 2016)

• Record Type: Journal Article
• Authors: Liang, Shaohui
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 19:Number 2(2016)
• Page Start: 361
• Page End: 374
• Publication Date: 2016-03-03
• Subjects: Q-P quantale modules -- Morphisms -- Category -- Limit -- Tensor product; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2015.1101931
• Languages: English
• ISSNs: 0972-0529

Abstract

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. Secondly, we give the structure of the limit of this category, so it is complete. At last, The definition of bimorphism of Q-P quantale modules is given. The tensor product of Q-P quantale modules is obtained, and some of their properties are discussed.