Abstract: In this study, we explore and delineate several characteristics of -I-open sets, and -I-open sets within ideal topological spaces. Additionally, we establish connections between -I-open sets, and -I-open sets in these spaces. Ultimately, we achieve a decomposition of continuity, enhancing the understanding of how these sets interact and contribute to the broader topological framework
Keywords: -I-open sets, -I-open sets, -I-continuous, -I-continuous.