Another Decomposition of \(A_{\mathcal{I}R}\)-Continuity

Abstract

In this paper, we introduce and investigate the notions of \(C\)-\(\mathcal{I}\)-sets which is an idealization of \(C\)-set introduced by Y. Erguang et al. [1]. Further, we introduce the notions of \(C\)-\(\mathcal{I}\)-continuity and obtain a decomposition of \(A_{\mathcal{I}R}\)-continuity in terms of semi-\(\mathcal{I}\)-continuity and \(C\)-\(\mathcal{I}\)-continuity.