Al Shumrani, M. A.Ozel, CenapKaymakci, Aynur Keskin2020-03-262020-03-2620172217-3412https://hdl.handle.net/20.500.12395/35339In this paper, first we give some characterizations and properties of strong beta-I-open sets. Then, we obtain a decomposition of semi-I-closed sets by using strong beta-I-open sets and t-I-sets. In addition, we give decompositions of open sets in any extremally disconnected space and in any ideal topological space. Moreover, we define AK(I)-set and AK(I)*-set and give decompositions of continuity.eninfo:eu-repo/semantics/closedAccessstrong beta-I-open setalpha-I-open setAK(I)-setAB(I)*-setAK(I)*-setdecompositions of continuityArticle81143155#YOKWOS:000397301700011N/A