Mathematics
Academic Staff

Professor
Topology
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1979, Bsc , Mathematics, University of Mosul, IRAQ
1982, MSc , Mathematics, University of Mosul, IRAQ
2006, PhD , Mathematics(TOPOLOGY), University of Duhok, IRAQ
1 Regular semi-open sets and S?-closed spaces, Tamkang Journal of Mathematics, Vol.23 NO.4, 1992. with S. F. Tadros.
2 rs-continuous functions and semi-T2- spaces, Zanco Salahaddin Univ., 1998. with N. K. Ahmed.
3 δ?-open sets and δ?-continuity in topological spaces , J.of Duhok Univ.(JDU), Vol.1 NO.2, 1998.
4 M s-closed spaces, J.of Duhok Univ.(JDU), Vol.1 NO.2, 1998.
5 rs-closed spaces, J.of Duhok Univ.(JDU), Vol.1 NO.3, 1998.
6 θs-continuous functions, J.of Duhok Univ.(JDU), special Issue, 1999.
7 M s-closed subspaces, J.of Duhok Univ.(JDU), Vol.3 NO.1, 2000.
8 On some strong types of separation axioms, J.of Duhok Univ.(JDU), Vol.3
NO.2, 2000.
9 δ?-compact spaces, J.of Duhok Univ.(JDU), Vol.4 NO.1, 2001.
10 Almost θs-continuity and weak θs-continuity in topological spaces, J.of Duhok
Univ.(JDU), Vol.4 NO.2, 2001.
11 Almost δ?-continuous functions, J.of Duhok Univ.(JDU), Vol.5 NO.2, 2002.
12 θs-open functions, J.of Duhok Univ.(JDU), Vol.5 NO.2, 2002.
13 On semi-θ-generalized closed sets, J.of Duhok Univ.(JDU), Vol.6 NO.1, 2003.
14 Functions with θs-closed graphs, J.of Duhok Univ.(JDU), Vol.6 NO.1, 2003.
15 On θs-continuous functions, J.of Duhok Univ.(JDU), Vol.7 NO.1, 2004.
16 On generalized pre-closed sets, generalized pre-continuous functions, and
Tgp-spaces in bitopological spaces, J.of Duhok Univ.(JDU), Vol.7 NO.1, 2004.
17 Almost θs-continuity and weak θs-continuity in topological spaces, J.of Duhok
Univ.(JDU), Vol.4 NO.2, 2001.
18 Properties of some types of separation axioms in topological spaces, J.of
Duhok Univ.(JDU), Vol.7 NO.2, 2004.
19 ps-open sets and ps-continuity, J.of Duhok Univ.(JDU), Vol.7 NO.2, 2004. with
Baravan Asaad.
20 Weakly ps-continuous functions, J.of Duhok Univ.(JDU), Vol.7 NO.2, 2004. with
Baravan Asaad.
21 On strongly p1-closed graphs and their cluster sets, J.of Duhok Univ.(JDU), Vol.8 NO.1, 2005. with Shilan Anwer.
22 ζi-Separation axioms in topological spaces, J.of Duhok Univ.(JDU), Vol.9 NO.2,
2006.
23 Sc-open and sc-continuity, j. advanced researches in pure math., Vol.2 NO.3,
2010.
24 Functions with sc-closed graphs and their cluster sets, J.of Duhok Univ.(JDU), Vol.12 NO.1, 2010.
25 Application of a conditional preopen set in bitopological spaces, International j. of contemporary math. Sci., Vol.5 NO.44, 2010. with Hardi Nasraddin.
26 Contra Sc-continuous functions, J.of Duhok Univ.(JDU), Vol.12 NO.3, 2010.
27 Si-Open Sets and Si-Continuity in Bitopological Spaces, Tamkang j. of Math., Vol.43 NO.1, 2012. with Alan Omer.
28 Almost Ps-Continuous Functions, Tamkang j. of Math., Vol.43 NO.1, 2012. with Baravan Asaad.
29 On ζi-Open Sets andζi-Continuity in Bitopological Spaces, Gen. Math. Notes, Vol.2 NO.1, 2011. with Haji Mosa.
30 On α-Covering Dimension, J. pure Sci. & tech., Vol.3 NO.1, 2011. with Haji
Mosa.
31 On Cp-open sets and two classes of Functions, J.of Duhok Univ.(JDU), Vol.13
NO.1, 2011.
32 Some applications of γ − P -Open sets in Topological Spaces, Int. J. Pure appl. Math., Vol.5 NO.1-2, 2011. with Hariwan Zikri.
33 Pγ -Open sets and Pγ,β -Continuous Mappings in Topological Spaces, J. of
Advanced Studies in Topology, Vol.3 NO.4, 2012. with Hariwan Zikri.
34 Sβ -Compact and Sβ -Closed Spaces, IJSER, Vol.3 NO.4, 2012. with N.K.Ahmed.
35 Weak separation axioms and functions with Sβ -closed graphs, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol.6 NO.3, 2012. with Nehmat K. Ahmed.
36 On some separation axioms via βγ -open sets, General Mathematics Notes, Vol.15 NO.2, 2013. with Hariwan Zikri.
37 g?b-Separation Axioms, General Mathematics Notes, Vol.16 NO.2, 2013. with
Suzan N. Dawod.
38 g?b-Continuous Multifunction, International J. of Matematical Sciences, Vol.2
NO.1, 2014:8-20. with Suzan N. Dawod.
39 λc-Open Sets and λc-Separation Axioms in Topological Spaces, J. of Advanced
Studies in Topology, Vol.4 NO.1, 2013. with Sarhad F. Namiq.
40 Generalized λc-Closed Sets and (λ, γ)?-Continuous Functions, IJSER, Vol.3
NO.12, 2012. with Sarhad F. Namiq.
41 Sp-Separation Axioms, IJSER, Vol.3 NO.10, 2012. with Hardi Ali.
42 Some Types of Separation Axioms in Topological Spaces, Tamsui Oxford Journal of Information and Mathematical Sciences, Vol.28 NO.3, 2012. with Halgurd Darweesh.
43 Sβ -Paracompact Spaces, J. of Advanced Studies in Topology, Vol.4 NO.1, 2013. with N.K.Ahmed.
44 Sβ -Compact sets and Sβ -Locally Compact Spaces, J. of Advanced Studies in
Topology, Vol.4 NO.1, 2013. with N.K.Ahmed.
45 Sβ -Closed spaces, J. of Advanced Studies in Topology, Vol.3 NO.4, 2012. with
N.K.Ahmed.
46 Sβ -Open Sets and Sβ -Continuity in Topological Spaces, Thai Journal of Math- ematics, Vol.3 NO.4, 2013. with N.K.Ahmed.
47 Pp-Open Sets and Pp-Continuous Functions , Gen. Math. Notes, Vol. 20 No.
1, 2014. with Shadya M. Mershkhan.
48 Some applications of minimal Pγ -open sets, Demonstratio Mathematica, Vol. (XLVII) NO.2, 2014. with Hariwan Zikri.
49 On Some New Maximal and Minimal Sets Via Semi-open, Acta Universitatis
Apulensis, NO.32, 2012. with Haji Mosa.
50 On Sp-Connected Spaces, Journal of University of Zakho, Vol.1 (A) NO.1, 2013. with with Hardi Ali.
51 (i, j)-Sc-Continuous and (i, j)-θSc-Continuous Functions, Journal of University of Zakho, Vol.1 (A) NO.1, 2013. with Hardi Nasraddin.
52 Ss-Open sets and Ss-Continuous Functions, International Journal of Advanced Mathematical Sciences, Vol.2 No.1, (2014):71-80. with Abdulrahman H Majeed, and Jamil M Jamil.
53 Almost and Weakly Ss-Continuous Functions, International Journal of Math- ematical Archive, Vol.5 No.4, 2014. with Abdulrahman H Majeed, and Jamil M Jamil.
54 On Contra Ss-Continuous Functions, Mathematical Theory and Modeling, Vol.4
No.5, 2014:24-30. with Abdulrahman H Majeed, and Jamil M Jamil.
55 On Ss-Compact Spaces , International Journal of Mathematics and Computer Applications Research, Vol.4 No.3, 2014:73-86. with Abdulrahman H Majeed, and Jamil M Jamil.
56 λpc-Open Set and λpc-Separation Axioms, International Journal of Basic and
Applied Sciences, Vol.3 No.2, 2014:137-145. with Alan M. Omer.
57 On Minimal λc-Open Sets, Asian Journal of Fuzzy and Applied Mathematics, Vol.2 No.6, 2014. with Sarhad F. Namiq.
58 SSc-Open Sets in Soft Topological Spaces, 2nd Scientefic conference of Garmian
University, 2015. with Sagvan Y. Musa.
59 On Minimal λsc-Open Sets, 2nd Scientefic conference of Garmian University,
2015. with Sarhad F. Namiq.
60 Bioperations on α-Open Sets in Topological Spaces, International Journal of pure and Applied Mathematics, Vol.103 No.4, 2015. with Hariwan Z. Ibrahim.
61 g∗bp-Continuous, Almost g∗bp-Continuous and Weakly g∗bp-Continuous
Functions, Analele Universitatii Oradea Fasc. Matematica, Vol. XXII No.2, 11-25,
2015. with Suzan N. Dawod & S. Jafari.
62 Some Properties of Operations on αO(X), International Journal of Mathematics and Soft Computing, Vol.6 No.1, 107-120, 2016. with Hariwan Z. Ibrahim.
63 Bioperations on α-Separation Axioms in Topological Spaces , Scientiae Math- ematicae Japonicae , Vol. 29 , 2016. with Hariwan Z. Ibrahim & S. Jafari.
64 On PS -Compact Spaces, International Journal of Scientific & Engineering Re- search, Vol. 7, Issue 8, 809-8015, 2016. With Paravan Asaad.
65 γ − α-Convergence, γ − α-Accumulation and γ − α-Compactness, Commun.
Fac. Sci . Univ. Ank. Ser. A1 Math. Stat., Vol. 66, No. 1, 2017. with Hariwan Z. Ibrahim.
66 Operation-Separation Axioms Via α-Open Sets, Acta Universitatis Apulensis, No. 47, 99-115, 2016. With H. Z. Ibrahim & A. K. Kaymakci.
67 Bioperations On α-Semiopen Sets, Konuralp Journal of Mathematics, Vol. 4
No. 2, 193-208, 2016. With H. Z. Ibrahim.
68 Weakly αγ -regular and weakly αγ -normal spaces, Facta Universitatis, Ser.
Math. Inform., Vol. 33, No. 1, 2017. with Hariwan Z. Ibrahim.
69 Some new functions via operations defined on α-open sets, Journal of Garmian
University, No. 12, 2017. with Hariwan Z. Ibrahim.
70 λc-connected spaces via λc-open sets, Journal of Garmian University, No. 12,
2017. with H. Darweshn & S. F. Namiq.
71 α(β,β)-Topological abelian group, Global Journal of Pure and Applied Math., Vol. 13 No. 6, 2017. with Hariwan Z. Ibrahim.
72 λβc-connected spaces and λβc-components, Journal of Garmian University, 4,
73–85, Vol. 4, 2017 with S. F. Namiq.
73 αβ -BOUNDED SETS AND αβ -TOPOLOGICALLY NILPOTENT ELE- MENTS, Facta Universitatis, Series: Mathematics and Informatics, Vol. 32, No 4 (2017), 435–446, Vol. 32, 2017 with HZ Ibrahim.
74 Normal Subgroups and Quotient Groups in β − α-topological Group, General
Letters in Mathematics, Vol. 5, No 1 (2018), 15–23, Vol. 5, 2018 with HZ Ibrahim.
75 Strong Forms of α[γ, γ0] − θ-semiopen Sets and (α[γ, γ0], α[β, β0]) − θ- semicontinuous Functions, Palestine Journal of Mathematics, Vol. 7, No 1 (2018), 131–140, Vol. 5, 2018 with HZ Ibrahim.
76 Some Operations defined on Subspaces via α-Open Sets, Thai Journal of
Mathematics, Vol. 17, No 1 (2019), 283–291, Vol. 17, 2019 with HZ Ibrahim.
77 On soft pc-separation axioms, Demonstratio Mathematica, Vol. 53, No 1 (2020),
67–79, Vol. 53, 2020 with QH Hamko & NK Ahmed.
78 On S-Topological BCK-algebra, Journal of University of Duhok, Vol. 23, No 1 (2020), Vol. 23, 2020 with FW Ali.
79 On soft pc-connected spaces, Iraqi J. of Science, Vol. 61, No 11 (2020),
3072–3081, with QH Hamko & NK Ahmed.
80 On soft pc-compact spaces, New Mathematics and Natural Computation, Vol.
16, No 3 (2020), 461–480, with QH Hamko & NK Ahmed.
81 On a fuzzy metric space and fuzzy convergence, Proyecciones Journal of
Mathematics), Vol. 40, No. 5 (2021), pp. 1279-1299, with Maha W Abdulqader.
82 Topological pseudo-UP algebras, Journal of Mathematics and Computer Science
(JMCS), Vol. 26, No. 1 (2021), pp. 80–89, with MA Yousef.
83 Topological Rings and Modules Via Operations, Iranian Journal of Mathemat- ical Sciences and Informatics, Vol. 6, No. 2 (2021), pp. 31–48, with Hariwan Z. Ibrahim.
84 Semi-Topological UP-Algebras, Journal of Algebra and Related Topics, Vol. 9, No. 2 (2021), pp. 1-22 , with MA Yousef.
85 Numerical Solution of Certain Types of Fredholm-Volterra Integro-Fractional Differential Equations via Bernstein Polynomials, Australian Journal of Math- ematical Analysis and Applications, Vol. 18, No 2 (2021), pp. 1–16, with Azhaar H. Sallo & Shazad S. Ahmed .
86 On Topological Pseudo-UP Algebras Based on Pseudo-UP Ideals, Turkish
Journal of Computer and Mathematics Education, Vol. 12, No. 13 (2021), pp.
6405–6416, with MA Yousef.
87 The invariance of soft Baire spaces under soft weak functions, Journal of
Interdisciplinary Mathematics, (2022), with Z Ameen.
88 On weak topological BCK-algebras, Journal of Interdisciplinary Mathematics, (2022), .
89 Soft separation axioms and functions with soft closed graphs, Proyecciones Journal of Mathematics, Vol. 41, No 1 (2022), pp. 177/195, with N Ahmed and Q. Hamko.
90 Soft separation axioms and functions with soft closed graphs, Proyecciones Journal of Mathematics, Vol. 41, No 1 (2022), pp. 177/195, with N Ahmed and Q. Hamko.
Topology, Fuzzy Topology, Bitopology, Topological Algebras
First Year Differential and Integral Calculus
Second year Advanced Calculus
Third Year Mathematical Analysis
Fourth year General Topology
M.Sc. Dimension Theory, Fuzzy Topology & Selected Topics in Topology
MSc students
Student No. 1
Name Abdullah M. Abdul-Jabbar • University of Salahaddin
Title θs-Continuity, Openness and Closed Graphs in Topological Spaces
Date 9/11/2000
Student No. 2
Name Saddam H. Yunis • University of Salahaddin
Title On Some Dimension Functions and Locally Dimension Functions
Date 14/10/2001
Student No. 3
Name Wuria M. Ameen Husain • University of Salahaddin
Title Application of Generalized Pre-Open Sets in Bitopological Spaces
Date 31/8/2002
Student No. 4
Name Shahla Hama karim • University of Salahaddin
Title On Fuzzy ∆-Open Sets in Fuzzy Topological Spaces
Date 13/5/2004
Student No. 5
Name Hardi Ali Shareef • University of Sulaimani
Title Sp-Open Sets, Sp-Continuity and Sp-Compactness in Topological Spaces
Date 21/11/2007
Student No. 6
Name Baravan A. Asaad • University of Duhok
Title Utilization of Some Types of Pre-Open Sets in Topological Spaces
Date 6/12/2007
Student No. 7
Name Shilan Anwer Mohammad Salim • University of Duhok
Title On Weak Types of Closed Graphs and Their Cluster Sets
Date 11/8/2008
Student No. 8
Name Zanyar Anwer Ameen • University of Duhok
Title A New Class of Semi-open Sets in Topological Spaces
Date 17/8/2009
Student No. 9
Name Hardi Nasradeen Aziz • University of Sulaimani
Title Applications of a Conditional Pre-Open Set in Bitopological Spaces
Date 13/10/2010
Student No. 10
Name Alan M. Omer • University of Duhok
Title Si-Open Sets, Si-Continuity and Si-Separation Axioms
Date 9/12/2010
Student No. 11
Name Hariwan Z. Ibrahim • University of Duhok
Title Some Concepts of Continuity and Separation Axioms Based on Pre-Open
Sets and Operations
Date 8/9/2011
Student No. 12
Name Sarhad F. Namiq • University of Sulaimani
Title New Types of Continuity and Separation Axioms Based on Operations in
Topological spaces
Date 22/12/2011
Student No. 13
Name Suzan N. Dawod • University of Zakho
Title New Functions, Multifunctions and Separation Axioms Based on g?b-Open
Sets
Date 12/9/2013
Student No. 14
Name Shadya M. Mershkhan • University of Zakho
Title Application of Pp-open Sets in Topological Spaces
Date 10/12/2013
Student No. 15
Name Sagvan Y. Musa • University of Zakho
Title SSc-Open Sets in Soft Topological Spaces
Date 31/10/2015
Student No. 16
Name Fatima W. Ali • University of Duhok
Title New Types of Semi Topological BCK-algebras
Date 06/09/2020
Student No. 17
Name Mahmoud A. Yousef • University of Duhok Title New Types of Topological UP-algebras Date 13/12/2021
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PhD Students
Student No. 1
Name Layla Sadulla Abdulla • University of Sulaimani
Title An Extension of Semi-Open Sets With its Applications on Spaces and Func- tions
Date 30/7/2009
Student No. 2
Name Halgwrd Mohammed Darwesh • University of Sulaimani
Title Some Types of Separation Axioms and Dimension Functions in Topological
Spaces
Date 14/1/2010
Student No. 3
Name Haji Mousa Hasan • University of Duhok
Title On Some Types of Continuity, Separation Axioms and Dimension Functions
Date 24/6/2010
Student No. 4
Name Hardi Ali Shareef • University of Sulaimani
Title A Generalization of Some New Topological Concepts by Using the Class of
Sp-Open Sets
Date 20/12/2012
Student No. 5
Name Nehmat K. Ahmed • University of Salahaddin
Title Utilization of Some Types of Semi Open Sets in Topological Spaces
Date 26/2/2013
Student No. 6
Name Jamil Mahmood Jamil • University of Baghdad Title Utilizing Ss-Open Sets in Topological Spaces Date 2/3/2015
Student No. 7
Name Hariwan Z. Ibrahim • University of Zakho
Title Analysis of α-operations in Topological Spaces, Groups and Fields
Date 11/05/2017
Student No. 8
Name Qumri H. Hamko • University of Salahaddin
Title Applications of soft Pc-open sets in soft topological spaces
Date 11/05/2020
Topology and its Related Topics Conference, Nanjing, CHINA
Scientific Conference of Zakho University
2nd Scientific Conference of Garmian University
First International Conference of Natural Science, Charmo University
2nd International Conference of Mathematics, Garmian University
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07504509510
aliasbkhalaf@uod.ac
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No CV available