Ekici, Erdal2025-01-272025-01-2720131221-8421https://doi.org/10.2478/v10157-012-0030-yhttps://hdl.handle.net/20.500.12428/28682The aim of this paper is to introduce and study the notions of A(I)*-sets, C-I-sets and C-I*-sets in ideal topological spaces. Properties of A(I)*-sets, C-I-sets and C-I*-sets are investigated. Moreover, decompositions of continuous functions and decompositions of A(I)*-continuous functions via A(I)*-sets, C-I-sets and C-I*-sets in ideal topological spaces are established.eninfo:eu-repo/semantics/openAccessA(I)*-setC-I-setC-I*-setpre-I-regular setideal topological spacedecompositionstar-extremally disconnected ideal spacestar-hyperconnected ideal spaceI-submaximal ideal spaceArticle59117318410.2478/v10157-012-0030-yQ4WOS:0003171474000112-s2.0-84888246723Q4