Some new sets and decompositions of $alpha^{*}$-$mathcal{I}$-continuity and $A_{mathcal{I}R}$-continuity via idealization
Authors :
K. Viswanathana and J. Jayasudhab,*
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.