ON DECOMPOSITIONS VIA GENERALIZED CLOSEDNESS IN IDEAL SPACES

Abstract

The aim of the present paper is to introduce and study the notions of RP_{I}-sets, RPC_{I}-sets and RC_{I}-sets. Properties of RP_{I}-sets, RPC_{I}-sets and RC_{I}-sets are investigated. Also, various decompositions in ideal spaces are established via generalized closedness with RP_{I}-sets, RPC_{I}-sets and RC_{I}-sets.