$g^\star$-closed Sets with Respect to an Ideal


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Authors

  • K. M. Dharmalingam Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India
  • D. Bharathi Department of Mathematics, Theni Kammavar Sangam College of Technology, Theni, Tamil Nadu, India
  • O. Ravi Department of Mathematics, P.M.Thevar College, Usilampatti, Tamil Nadu, India

Keywords:

Topological space, open set, $g^\star$closed set, $g$-closed set, $\mathcal{I}_{g}$-closed set, $\mathcal{I}_{\pi g}$-closed set, ideal

Abstract

An ideal on a set X is a non empty collection of subsets of X with heredity property which is also closed under finite unions. The concept of generalized closed ($g$-closed) sets was introduced by Levine [10]. Quite Recently, Jafari and Rajesh [7] have introduced and studied the notion of generalized closed ($g$-closed) sets with respect to an ideal. Many generalizations of $g$-closed sets are being introduced and investigated by modern researchers. One among them is $g^\star$-closed sets which were introduced by Veerakumar [17]. In this paper, we introduce and investigate the concept of $g^\star$-closed sets with respect to an ideal.

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Published

15-09-2015

How to Cite

K. M. Dharmalingam, D. Bharathi, & O. Ravi. (2015). $g^\star$-closed Sets with Respect to an Ideal. International Journal of Mathematics And Its Applications, 3(3 - A), 47–51. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/445

Issue

Vol. 3 No. 3 - A (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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