Keskin, ANoiri, TYuksel, S2020-03-262020-03-2620040236-5294https://dx.doi.org/10.1023/B:AMHU.0000024677.08811.6ahttps://hdl.handle.net/20.500.12395/19087In 1986, Tong [13] proved that a function f : (X, tau) --> (Y, phi) is continuous if and only if it is alpha-continuous and A-continuous. We extend this decomposition of continuity in terms of ideals. First, we introduce the notions of regular-I-closed sets, A(I)-sets and A(I)-continuous functions in ideal topological spaces and investigate their properties. Then, we show that a function f : (X, 7, 1) --> (Y, phi) is continuous if and only if it is alpha-I-continuous and A(I)-continuous.en10.1023/B:AMHU.0000024677.08811.6ainfo:eu-repo/semantics/openAccessdecomposition of continuitytopological idealregular closed setA-setregular-I-closed setA(I)-setArticle1024269277Q2WOS:000223015900001Q4