Decompositions of $rg$-continuity via Idealization


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Authors

  • K. Indirani Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu, India
  • V. Rajendran Department of Mathematics, KSG College, Coimbatore, Tamil Nadu, India
  • M. Meharin School of Youth Empowerment, Madurai Kamaraj University, Madurai, Tamil Nadu, India
  • O. Ravi Department of Mathematics, P. M. Thevar College, Usilampatti, Madurai District, Tamil Nadu, India

Keywords:

$r\alpha g$-$\mathcal{I}$-continuity, $gpr$-$\mathcal{I}$-continuity, $C_r$-$\mathcal{I}$-continuity, $C_r^*$-$\mathcal{I}$-continuity, $rg$-continuity

Abstract

In this paper, we introduce the notions of $r\alpha g$-$\mathcal{I}$-open sets, $gpr$-$\mathcal{I}$-open sets, $C_r$-$\mathcal{I}$-sets and $C_r^*$-$\mathcal{I}$-sets in ideal topological spaces and investigate some of their properties and using these notions we obtain three decompositions of $r g$-continuity.

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Published

15-06-2015

How to Cite

K. Indirani, V. Rajendran, M. Meharin, & O. Ravi. (2015). Decompositions of $rg$-continuity via Idealization. International Journal of Mathematics And Its Applications, 3(2), 45–53. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/419

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Section

Research Article

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