ستافێ ئەکادیمی

                                        د. الياس بركات خلف
د. الياس بركات خلف ____________________________
پرۆفیسور
Topology
  • 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

    ________________________

    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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      aliasbkhalaf@uod.ac

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