Holgate, DavidIragi, Bakulikira2026-02-052026-02-052026Holgate, D. and Iragi, B., 2026. On Császár structures and pre-nearness on frames. Afrika Matematika, 37(1), p.6.https://doi.org/10.1007/s13370-025-01403-9https://hdl.handle.net/10566/21895The aim of this paper is to introduce the concept of semi-Császár structures and investigate their relationship with the well-known notion of pre-nearness structures on frames. More explicitly, we define the category of semi-Császár frames and establish a connection with the category of covering pre-nearness frames. We provide conditions under which semi-Császár structures relate with pre-uniformities on frames. Finally, we present a frame counterpart to the relationship between symmetric syntopogenous structures and nearness spaces as established by Herrlich (Gen Topol Appl 4(3):191–212, 1974).enClosure operationCsászár structureInterior operationPre-nearness frameTopogenous orderArticle