Özkan, Samed2022-12-292022-12-292022https://doi.org/10.31801/cfsuasmas.1070240http://hdl.handle.net/20.500.12575/86602In this paper, we characterize explicitly the separation properties T 0 and T 1 at a point p in the topological category of quantale-valued preordered spaces and investigate how these characterizations are related. Moreover, we prove that local T 0 and T 1 quantale-valued preordered spaces are hereditary and productive.enTopological category, quantale-valued preorder, local T 0 objects, local T 1 objectsArticle7149079181303-5991