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

NA

Project Number

NA

Thanks

NA

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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