Boletim da Sociedade Paranaense de Matemática (Jan 2012)
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.