On $\mathcal{NI}_{\widehat g}$-Closed Sets in Nano Ideal Topological Spaces


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Authors

  • V. Rajendran Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, India
  • P. Sathishmohan Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, India
  • K. Lavanya Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, India

Keywords:

${\mathcal {N}g}$-closed sets, ${\mathcal {N}}{\widehat{g}}$-closed sets, ${\mathcal {NI}}_{g}$-closed sets, ${\mathcal {NI}}_{\widehat {g}}$-closed sets, ${\mathcal {NI}}_{\widehat g}$-open sets

Abstract

This paper focuses on $\mathcal {NI}_{\widehat {g}}$-Closed sets (nano $\mathcal {I} _{\widehat {g}}$-closed sets) and $\mathcal {NI}_{\widehat {g}}$-open sets (nano $\mathcal {I} _{\widehat {g}}$-closed sets) in nano ideal topological spaces and certain properties of these are investigated. We also investigate the concept of nano $\mathcal {I} _{\widehat {g}}$-closed sets and discussed their relationships with other forms of nano ideal sets. Further, we have given an appropriate examples to understand the abstract concepts clearly.

 

 

Author Biographies

V. Rajendran, Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, India

 

 

P. Sathishmohan, Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, India

 

 

K. Lavanya, Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, India

 

 

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Published

15-05-2018

How to Cite

V. Rajendran, P. Sathishmohan, & K. Lavanya. (2018). On $\mathcal{NI}_{\widehat g}$-Closed Sets in Nano Ideal Topological Spaces. International Journal of Mathematics And Its Applications, 6(2 - A), 193–199. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/663

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Section

Research Article