Some new sets and decompositions of $alpha^{*}$-$mathcal{I}$-continuity and $A_{mathcal{I}R}$-continuity via idealization

K. Viswanathana and J. Jayasudhab,*

**Some new sets and decompositions of $alpha^{*}$-$mathcal{I}$-continuity and $A_{mathcal{I}R}$-continuity via idealization**

Authors :

K. Viswanathan^a and J. Jayasudha^b,*

Author Address :

^a,bPost-Graduate and Research Department of Mathematics, N G M College, Pollachi - 642 001, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, we introduce and investigate the notions of $alpha^{*}$-$mathcal{I}$-open sets in ideal topological spaces. Further we introduce the notions of $delta$-$mathcal{I}$-closed sets, weak $A^{*}_{mathcal{I}}$-sets, $eta^{*}_mathcal{I}$-sets and $C^{*}$-${mathcal{I}}$-sets to obtain decompositions of $alpha^{*}$-$mathcal{I}$-continuity and $A_{mathcal{I}R}$-continuity.

Keywords :

$alpha^{*}$-$mathcal{I}$-open sets, $delta$-$mathcal{I}$-closed sets, weak $A^{*}_{mathcal{I}}$-sets, $eta^{*}_mathcal{I}$-sets and $C^{*}$-${mathcal{I}}$-sets, $

DOI :

Article Info :

Received : July 23, 2013; Accepted : September 01, 2013.