Bin Zhao
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.
[ 2 ] - A duality between fuzzy domains and strongly completely distributive $L$-ordered sets
The aim of this paper is to establish a fuzzy version of the dualitybetween domains and completely distributive lattices. All values aretaken in a fixed frame $L$. A definition of (strongly) completelydistributive $L$-ordered sets is introduced. The main result inthis paper is that the category of fuzzy domains is dually equivalentto the category of strongly completely distributive $L$-ordereds...
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