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.
K. Kuratowski, Topology, Vol. I, Academic Press, NewYork
1966.
D. Jankovi´c, T.R.Hamlett, New topologies from old via ideals,
Amer. Math. Monthly 97 (1990) 295-310.
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.
J. Dontchev, Idealization of Ganster-Reilly decomposition theorems,
arxiv: math GN/9901017v1(1999).
E. Hatir, T. Noiri, On decompositions of continuity via idealization,
Acta Math. Hungar 96(4) (2002) 341-349.
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.
A. Keskin, S. Yuksel, T. Noiri, Decompositions of I-continuity and continuity, Commun.Fac. Sci. Univ. Ank. Ser. A1 53(2) (2004) 67-75.
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.
E. Ekici, On A^*_I-sets, C_I-sets, C^*_I-sets and decompositions of continuity in ideal topological spaces, Anal. Al. I. Cuza Univ. Math 2013, DOI: 10.2478/v10157-012-0030-y.
R. M. Aqeel, A. A. Bin Kuddah, On strong semi*-I-open sets in ideal topological spaces,
Aden University Journal of Natural and Applied Sciences (Accepted).
E. Hatir, A. Keskin, T. Noiri, On a new decomposition of continuity via idealization,
JP J. Geometry Topology 3(1) (2003) 53-64.
M. E. Abd El-Monsef, S. N. El-Deeb, R. A. Mahmoud, \beta -open sets and \beta-
continuous mappings , Bull. Fac. Sci. Assiut Univ 12 (1983) 77-90.
E. Hatir and S. Jafari, On weakly semi-I-open sets and another decomposition continuity via ideals, Sarajevo J. Math
2(14) (2006) 107-114.
E. Hatir, A. Keskin, T. Noiri, A note on strong \beta-I-open sets and strongly \beta-I-continuous functions,
Acta Math. Hungar 108(1-2) (2005) 87-94.
E. Hayashi, Topologies defined by local properties, Math. Ann 156 (1964) 205-215.
J.Dontchev, M. Ganster, D. Rose, Ideal resolvability, Topology Appl 93 (1) (1999), 1-16.
V. Renukadevi, D. Sivaraj, A decomposition of continuity via ideals, Acta. Math.Hungar 118 (1-2) (2008) 53-59.
E. Ekici, On pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces,
Acta Univ. Apulensis 30 (2012) 293-303.
E. G. Yang, A round decompositions of continuity via idealization ,Questions Answers General Topology 26 (2008) 131-138.
E. Ekici, T .Noiri, \emph{*-extremally disconnected ideal topological spaces}, Acta Math.Hungar 122 (2009) 81-90.
K. Kuratowski, Topology, Vol. I, Academic Press, NewYork
1966.
D. Jankovi´c, T.R.Hamlett, New topologies from old via ideals,
Amer. Math. Monthly 97 (1990) 295-310.
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.
J. Dontchev, Idealization of Ganster-Reilly decomposition theorems,
arxiv: math GN/9901017v1(1999).
E. Hatir, T. Noiri, On decompositions of continuity via idealization,
Acta Math. Hungar 96(4) (2002) 341-349.
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.
A. Keskin, S. Yuksel, T. Noiri, Decompositions of I-continuity and continuity, Commun.Fac. Sci. Univ. Ank. Ser. A1 53(2) (2004) 67-75.
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.
E. Ekici, On A^*_I-sets, C_I-sets, C^*_I-sets and decompositions of continuity in ideal topological spaces, Anal. Al. I. Cuza Univ. Math 2013, DOI: 10.2478/v10157-012-0030-y.
R. M. Aqeel, A. A. Bin Kuddah, On strong semi*-I-open sets in ideal topological spaces,
Aden University Journal of Natural and Applied Sciences (Accepted).
E. Hatir, A. Keskin, T. Noiri, On a new decomposition of continuity via idealization,
JP J. Geometry Topology 3(1) (2003) 53-64.
M. E. Abd El-Monsef, S. N. El-Deeb, R. A. Mahmoud, \beta -open sets and \beta-
continuous mappings , Bull. Fac. Sci. Assiut Univ 12 (1983) 77-90.
E. Hatir and S. Jafari, On weakly semi-I-open sets and another decomposition continuity via ideals, Sarajevo J. Math
2(14) (2006) 107-114.
E. Hatir, A. Keskin, T. Noiri, A note on strong \beta-I-open sets and strongly \beta-I-continuous functions,
Acta Math. Hungar 108(1-2) (2005) 87-94.
E. Hayashi, Topologies defined by local properties, Math. Ann 156 (1964) 205-215.
J.Dontchev, M. Ganster, D. Rose, Ideal resolvability, Topology Appl 93 (1) (1999), 1-16.
V. Renukadevi, D. Sivaraj, A decomposition of continuity via ideals, Acta. Math.Hungar 118 (1-2) (2008) 53-59.
E. Ekici, On pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces,
Acta Univ. Apulensis 30 (2012) 293-303.
E. G. Yang, A round decompositions of continuity via idealization ,Questions Answers General Topology 26 (2008) 131-138.
E. Ekici, T .Noiri, \emph{*-extremally disconnected ideal topological spaces}, Acta Math.Hungar 122 (2009) 81-90.
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.
AMA
Aqeel RM, Bin Kuddah AA. On Strong Pre*-I-Open Sets in Ideal Topological Spaces. JNT. May 2019;(28):44-52.
Chicago
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): 44-52.
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
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.
ISNAD
Aqeel, Radhwan Mohammed - Bin Kuddah, Ahlam Abdullah. “On Strong Pre*-I-Open Sets in Ideal Topological Spaces”. Journal of New Theory 28 (May 2019), 44-52.
JAMA
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, 2019, pp. 44-52.
Vancouver
Aqeel RM, Bin Kuddah AA. On Strong Pre*-I-Open Sets in Ideal Topological Spaces. JNT. 2019(28):44-52.