The concepts of $L$-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism between  $L$-convex systems and Scott-hull spaces. Moreover, it is proved that the category of $L$-convex structures is  bireflective in the category of $L$-convex systems. Furthermore, the quotient systems of $L$-convex systems are studied.

this essay evaluates the major methodological trends in research at the iranian academic educational journals based on scott’s methodological criticism. therefore, the present study sought to examine a small part of iranian educational research in the context of scott's taxonomy, including nine major fallacies: epistemic, homogeneity, causal, essentialist, value free knowledge, prospective, red...