Kaiyun Wang
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, P.R. China
[ 1 ] - K-FLAT PROJECTIVE FUZZY QUANTALES
In this paper, we introduce the notion of {bf K}-flat projective fuzzy quantales, and give an elementary characterization in terms of a fuzzy binary relation on the fuzzy quantale. Moreover, we prove that {bf K}-flat projective fuzzy quantales are precisely the coalgebras for a certain comonad on the category of fuzzy quantales. Finally, we present two special cases of {bf K} as examples.