\(ng^{\#}\)-Closed Sets In An Ideal Nano Topological Space

Authors

  • S. Devi Department of Mathematics, Sri Adichunchanagairi Women's College, Kumuli Main Road, Cumbum 625516, Tamil Nadu
  • M. Rameshpandi Department of Mathematics, Pasumpon Muthuramalinga Thevar College, Usilampatti 625532, Madurai District, Tamil Nadu
  • S. Antony David Department of Mathematics, Ananda College, Affiliated to Alagappa University, Karaikudi, Sivaganga District, Tamil Nadu

DOI:

https://doi.org/10.26713/cma.v12i3.1526

Keywords:

\(ng^{\#}\)-closed sets, \(n\mathcal{I}_{g^\#}\)-closed sets, \(n\alpha g^{\#}\)-closed sets and completely nano codense

Abstract

In this paper, we propose to introduce the new classes of \(ng^{\#}\)-closed sets, \(n\mathcal{I}_{g^\#}\)-closed sets, \(n\alpha g^{\#}\)-closed sets and completely nano codense in ideal an nano topological space. Also, we studied the \(n\mathcal{I}_{g^\#}\)-closed sets and establish their various characteristic properties.

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References

R. Asokan, O. Nethaji and I. Rajasekaran, Several types of B#-closed sets in ideal nanotopological spaces, Journal of New Theory, 32(2020), 51-57.

R. Asokan, O. Nethaji and I. Rajasekaran, New generalized closed sets in ideal nanotopological spaces, Bull., Int., Mat., Vir., Ins., 9(3) (2019), 535-542.

R. Asokan, O. Nethaji and I. Rajasekaran, On nano generalized ⋆-closed sets in an ideal nanotopological space, Asia Mathematika, 2(3) (2018), 50-58.

K. Bhuvaneshwari and K. Mythili Gnanapriya, Nano generalised closed sets, International Journal of Scientic and Research Publications, 4(5) (2014), 1-3.

K. Kuratowski, Topology, Vol I. Academic Press (New York) 1966.

M. Lellis Thivagar and Carmel Richard, On nano forms of weakly open sets, International Journal of Mathematics and Statistics Invention, 1(1) (2013), 31-37.

O. Nethaji, R. Asokan and I. Rajasekaran, Novel concept of ideal nanotopological spaces, Asia Mathematika, 3(3) (2019), 5-15.

O. Nethaji, R. Asokan and I. Rajasekaran, New generalized classes of ideal nanotopological spaces, Bull., Int., Mat., Vir., Ins., 9(2019), 543-552.

R. T. Nachiyar and K. Bhuvaneswari, On nano generalized A-closed sets and nano A-generalized closed sets in nano topological spaces, International Journal of Engineering Trends and Technology, 6(13) (2014), 257-260.

M. Parimala, S. Jafari and S. Murali, Nano ideal generalized closed sets in nano ideal topological spaces, Annales Univ. Sci. Budapest., 60 (2017), 3-11.

M. Parimala and S. Jafari, On some new notions in nano ideal topological spaces, Eurasian Bulletin Of Mathematics, 1(3) (2018), 85-93.

M. Parimala, T. Noiri and S. Jafari, New types of nano topological spaces via nano ideals, https://www.researchgate.net/publication/315892279.

Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences, 11(5) (1982), 341-356.

R. Prem Kumar and M. Rameshpandi, New sets in ideal nano topological spaces, Bull., Int., Mat., Vir., Ins., 10(1) (2020), 19-27.

I. Rajasekaran and O. Nethaji, On ω-closed sets in ideal nanotopological spaces, Bull., Int., Mat., Vir., Ins., 11(1) (2021), 127-134

I. Rajasekaran and O. Nethaji, On C⋆ 19-open in ideal nano space, South Asian Journal of Mathematics, 7(1) (2020), 53-63.

I. Rajasekaran and O. Nethaji, Unied approach of several sets in ideal nanotopological spaces, Asia Mathematika, 3(1) (2019), 70-78.

I. Rajasekaran and O. Nethaji, Simple forms of nano open sets in an ideal nano topological spaces, Journal of New Theory, 24(2018), 35-43.

I. Rajasekaran, O. Nethaji and R. Prem Kumar, Perceptions of several sets in ideal nano topological spaces, Journal of New Theory, 23(2018), 78-84.

P. Sathishmohan, V. Rajendran, C. Vignesh Kumar and P. K. Dhanasekaran, On nano semi pre neighbourhoods in nano topological spaces, Malaya J. Mat., 6(1) (2018), 294-298.

R. Vaidyanathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci., 20(1945), 51-61.

R. Vaidyanathaswamy, Set topology, Chelsea Publishing Company, New York, 1946.

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Published

30-09-2021
CITATION

How to Cite

Devi, S., Rameshpandi, M., & David, S. A. (2021). \(ng^{\#}\)-Closed Sets In An Ideal Nano Topological Space. Communications in Mathematics and Applications, 12(3), 655–663. https://doi.org/10.26713/cma.v12i3.1526

Issue

Vol. 12 No. 3 (2021)

Section

Research Article

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