Abstract
We characterize and discuss the properties of \( \mathcal{I}R \)-closed sets and \( A_{\mathcal{I}R} \)-sets. Also, we give characterizations of weakly \( \mathcal{I} \)-locally closed sets and \( \mathcal{I} \)-submaximal spaces. A characterization of codense ideals in terms of \( \mathcal{I}R \)-closed sets is also given.
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