Some New Regular Generalized Closed Sets in Ideal Topological Spaces

Abstract

In this work, we introduce the notions of saw-$I_{rg}$-closed sets and  weakly-$rg_{I}$-closed by using the notion of regular open sets. Further, we study the concept of saw-$I_{rg}$-closed sets and their relationships in ideal topological spaces by using these new notions. Furthermore, we introduce and examine some properties of $\alpha_{I}$-$\ast$-$normal$ space.