On decompositions of Irg-continuity

Abstract

We introduce the notions of $mathcal{I}$-$rg$-open sets, $mathcal{I}$-$galpha^{**}$-open sets, $mathcal{I}$-$gpr$-open sets, $mathcal{I}$-$C_r$-sets and $mathcal{I}$-${C_r}^{*}$-sets to obtain the decompositions of $mathcal{I}$-$rg$-continuity in ideal topological spaces.

Keywords

• $mathcal{I}$-${rg}$-open sets
• $mathcal{I}$-${galpha^{**}}$-open sets
• $mathcal{I}$-${gpr}$- open sets
• $mathcal{I}$-$C_r$-sets
• $mathcal{I}$-${C_r}^{*}$-sets and $mathcal{I}$-${rg}$-continuity.