Research Article

On Strong Pre*-I-Open Sets in Ideal Topological Spaces

Number: 28 May 7, 2019
EN

On Strong Pre*-I-Open Sets in Ideal Topological Spaces

Abstract

The aim of the present paper is to introduce the class of strong pre*-I-open sets which is strictly placed between the class of all pre-I-open and the class of all pre*-I-open subsets of X. Relationships with some other types of sets were given. Furthermore, by using the new notion, we defined the strong pre*-I-Interior and strong pre*I-closure operators and established their various properties.

Keywords

References

  1. K. Kuratowski, Topology, Vol. I, Academic Press, NewYork 1966.
  2. D. Jankovi´c, T.R.Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97 (1990) 295-310.
  3. M. E. Abd El-monsef, E. F. Lashien, A. A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math 32 (1992) 21-30.
  4. J. Dontchev, Idealization of Ganster-Reilly decomposition theorems, arxiv: math GN/9901017v1(1999).
  5. E. Hatir, T. Noiri, On decompositions of continuity via idealization, Acta Math. Hungar 96(4) (2002) 341-349.
  6. E. Ekici, On ACI -sets, BCI -sets, \beta^*I -open sets and decompositions of continuity in ideal topological spaces, Creat. Math. Inform 20(1) (2011) 47-54.
  7. A. Keskin, S. Yuksel, T. Noiri, Decompositions of I-continuity and continuity, Commun.Fac. Sci. Univ. Ank. Ser. A1 53(2) (2004) 67-75.
  8. A.S. Mashhour, M. E. Abd El-monsef, S. N. El-deep, On precontinuous and weak precontinuous mappings, Proc. Math.Phys soc. Egypt 53 (1982), 47-53.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ahlam Abdullah Bin Kuddah This is me
Yemen

Publication Date

May 7, 2019

Submission Date

November 30, 2018

Acceptance Date

April 17, 2019

Published in Issue

Year 2019 Number: 28

APA
Aqeel, R. M., & Bin Kuddah, A. A. (2019). On Strong Pre*-I-Open Sets in Ideal Topological Spaces. Journal of New Theory, 28, 44-52. https://izlik.org/JA96KX93FB
AMA
1.Aqeel RM, Bin Kuddah AA. On Strong Pre*-I-Open Sets in Ideal Topological Spaces. JNT. 2019;(28):44-52. https://izlik.org/JA96KX93FB
Chicago
Aqeel, Radhwan Mohammed, and Ahlam Abdullah Bin Kuddah. 2019. “On Strong Pre*-I-Open Sets in Ideal Topological Spaces”. Journal of New Theory, nos. 28: 44-52. https://izlik.org/JA96KX93FB.
EndNote
Aqeel RM, Bin Kuddah AA (May 1, 2019) On Strong Pre*-I-Open Sets in Ideal Topological Spaces. Journal of New Theory 28 44–52.
IEEE
[1]R. M. Aqeel and A. A. Bin Kuddah, “On Strong Pre*-I-Open Sets in Ideal Topological Spaces”, JNT, no. 28, pp. 44–52, May 2019, [Online]. Available: https://izlik.org/JA96KX93FB
ISNAD
Aqeel, Radhwan Mohammed - Bin Kuddah, Ahlam Abdullah. “On Strong Pre*-I-Open Sets in Ideal Topological Spaces”. Journal of New Theory. 28 (May 1, 2019): 44-52. https://izlik.org/JA96KX93FB.
JAMA
1.Aqeel RM, Bin Kuddah AA. On Strong Pre*-I-Open Sets in Ideal Topological Spaces. JNT. 2019;:44–52.
MLA
Aqeel, Radhwan Mohammed, and Ahlam Abdullah Bin Kuddah. “On Strong Pre*-I-Open Sets in Ideal Topological Spaces”. Journal of New Theory, no. 28, May 2019, pp. 44-52, https://izlik.org/JA96KX93FB.
Vancouver
1.Radhwan Mohammed Aqeel, Ahlam Abdullah Bin Kuddah. On Strong Pre*-I-Open Sets in Ideal Topological Spaces. JNT [Internet]. 2019 May 1;(28):44-52. Available from: https://izlik.org/JA96KX93FB

 

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