TY  - JOUR
T1  - Role of ideals  on $\sigma$-topological spaces
AU  - Mıah, Chhapikul
AU  - Islam, Md. Monirul
AU  - Modak, Shyamapada
AU  - Mistry, Sukalyan
PY  - 2022
DA  - September
Y2  - 2022
DO  - 10.31801/cfsuasmas.1038097
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 870
EP  - 883
VL  - 71
IS  - 3
LA  - en
AB  - 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.
KW  - $\sigma$-topological space
KW  - $()^{*\sigma}$-operator
KW  - $\psi_{\sigma}$-operator
KW  - $\sigma$-compatible
KW  - $\psi_{\sigma}$-C set
CR  - 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
CR  - 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
CR  - Al-Omari, A., Noiri, T., On operators in ideal minimal spaces, Mathematica, 58(81)(1-2) (2016), 3-13.
CR  - 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
CR  - Hamlett, T.R., Jankovi´c, D., Ideals in topological spaces and set operator $\psi$, Bull. U.M.I., 7(4-B) (1990), 863-874.
CR  - 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
CR  - Kuratowski, K., Topology, Vol. 1, Academic Press, New York, 1966.
CR  - Modak, S., Bandhyopadhyay, C., A note on $\psi$-operator, Bull. Malyas. Math. Sci. Soc., 30(1) (2007), 43-48.
CR  - Modak, S., Mistry, S., Ideal on supra topological space, Int. Journal of Math. Analysis, 6(1) (2012), 1-10.
CR  - Natkaniec, T., On I-continuity and I-semicontinuity points, Math. Slovaca, 36(3) (1986), 297- 312.
CR  - Newcomb, R.L., Topologies Which are Compact Codulo an Ideal, Ph.D. Dissertation, Univ. of Cal. at Santa Barbara, 1967.
CR  - Njastad, O., On some classes of nearly open sets, Pacific J. Math., 15(3) (1965), 961-970. https://doi.org/10.2140/pjm.1965.15.961
CR  - Vaidyanathaswamy, R., Set Topology, Chelsea Publishing Co., New York, 1960.
UR  - https://doi.org/10.31801/cfsuasmas.1038097
L1  - https://dergipark.org.tr/en/download/article-file/2138120
ER  -