Regular Generalized Closed Sets in Ideal Topological Spaces

We define I_{rg}-closed sets and I_{rg}-open sets, characterize these sets and discuss their properties. Then, we define \vee_r-sets and \wedge_r-sets and discuss the relation between them. Also, we give characterizations of I_{rg}-closed sets and rg-closed sets. A separation axiom stronger than T_I is defined and various characterizations are given.