K-FLAT PROJECTIVE FUZZY QUANTALES
نویسندگان
1 College of Mathematics and Information Science, Shaanxi Normal Univer- sity, Xi'an 710119, P.R. China
2 College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, P.R. China
3 College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, P.R. China
doi
10.22111/ijfs.2017.3433چکیده
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.