Decompositions of $rg$-continuity via Idealization
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Keywords:
$r\alpha g$-$\mathcal{I}$-continuity, $gpr$-$\mathcal{I}$-continuity, $C_r$-$\mathcal{I}$-continuity, $C_r^*$-$\mathcal{I}$-continuity, $rg$-continuityAbstract
In this paper, we introduce the notions of $r\alpha g$-$\mathcal{I}$-open sets, $gpr$-$\mathcal{I}$-open sets, $C_r$-$\mathcal{I}$-sets and $C_r^*$-$\mathcal{I}$-sets in ideal topological spaces and investigate some of their properties and using these notions we obtain three decompositions of $r g$-continuity.
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