Research Article

Role of ideals on $\sigma$-topological spaces

Volume: 71 Number: 3 September 30, 2022
EN

Role of ideals on $\sigma$-topological spaces

Abstract

In this writeup, we have discussed the role of ideals on $\sigma$-topological spaces. Using this idea, we have also studied and discussed two operators $()^{*\sigma}$ and $\psi_{\sigma}$. We have extended this concept to a new generalized set and investigated some basic properties of these concepts using $()^{*\sigma}$ and $\psi_{\sigma}$ operators.

Keywords

Supporting Institution

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Project Number

NA

Thanks

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References

  1. Al-Omari, A., Noiri, T., On $\psi_*$-operator in ideal m-spaces, Bol. Soc. Paran. Mat., (3s.), 30(1) (2012), 53-66. https://doi.org/10.5269/bspm.v30i1.12787
  2. Al-Omari, A., Noiri, T., Corrigendum to on $\psi_*$-operator in ideal m-spaces, Bol. Soc. Paran. Mat., (3s.), 30(2) (2012), 119-119. https://doi.org/10.5269/bspm.v30i2.14925
  3. Al-Omari, A., Noiri, T., On operators in ideal minimal spaces, Mathematica, 58(81)(1-2) (2016), 3-13.
  4. Al-Saadi, H., Al-Omari, A., Some operators in ideal topological spaces, Missouri J. Math. Sci., 30(1) (2018), 59-71. https://doi.org/ 10.35834/mjms/1534384955
  5. Hamlett, T.R., Jankovi´c, D., Ideals in topological spaces and set operator $\psi$, Bull. U.M.I., 7(4-B) (1990), 863-874.
  6. Jankovic, D., Hamlett, T.R., New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-300. https://doi.org/10.1080/00029890.1990.11995593
  7. Kuratowski, K., Topology, Vol. 1, Academic Press, New York, 1966.
  8. Modak, S., Bandhyopadhyay, C., A note on $\psi$-operator, Bull. Malyas. Math. Sci. Soc., 30(1) (2007), 43-48.

Details

Primary Language

English

Subjects

Mathematical Sciences, Applied Mathematics

Journal Section

Research Article

Publication Date

September 30, 2022

Submission Date

December 19, 2021

Acceptance Date

April 27, 2022

Published in Issue

Year 2022 Volume: 71 Number: 3

APA
Mıah, C., Islam, M. M., Modak, S., & Mistry, S. (2022). Role of ideals on $\sigma$-topological spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(3), 870-883. https://doi.org/10.31801/cfsuasmas.1038097
AMA
1.Mıah C, Islam MM, Modak S, Mistry S. Role of ideals on $\sigma$-topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71(3):870-883. doi:10.31801/cfsuasmas.1038097
Chicago
Mıah, Chhapikul, Md. Monirul Islam, Shyamapada Modak, and Sukalyan Mistry. 2022. “Role of Ideals on $\sigma$-Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 (3): 870-83. https://doi.org/10.31801/cfsuasmas.1038097.
EndNote
Mıah C, Islam MM, Modak S, Mistry S (September 1, 2022) Role of ideals on $\sigma$-topological spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 3 870–883.
IEEE
[1]C. Mıah, M. M. Islam, S. Modak, and S. Mistry, “Role of ideals on $\sigma$-topological spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 71, no. 3, pp. 870–883, Sept. 2022, doi: 10.31801/cfsuasmas.1038097.
ISNAD
Mıah, Chhapikul - Islam, Md. Monirul - Modak, Shyamapada - Mistry, Sukalyan. “Role of Ideals on $\sigma$-Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71/3 (September 1, 2022): 870-883. https://doi.org/10.31801/cfsuasmas.1038097.
JAMA
1.Mıah C, Islam MM, Modak S, Mistry S. Role of ideals on $\sigma$-topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71:870–883.
MLA
Mıah, Chhapikul, et al. “Role of Ideals on $\sigma$-Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 3, Sept. 2022, pp. 870-83, doi:10.31801/cfsuasmas.1038097.
Vancouver
1.Chhapikul Mıah, Md. Monirul Islam, Shyamapada Modak, Sukalyan Mistry. Role of ideals on $\sigma$-topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022 Sep. 1;71(3):870-83. doi:10.31801/cfsuasmas.1038097

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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