مواقع التدريسيينجامعة الكوفة
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About

Professor in Department of Mathematics, The head of department of Mathematics, the Faculty of Computer Science and Mathematics, University of Kufa (9/2019 -). Bachelor of Mathematics Science: Faculty of Science, University of Baghdad (1991). Master of Mathematics Science : Faculty of Education , University of Babylon ( 2001). The head of department of Mathematics at the Faculty of Science, University of Kufa (2003-2005). Manager of the faculty Library (2008-2016). Managing editor of the Journal of Kufa for mathematics and computer(2013-2015), (2017-). A member of the scientific Committee in the Department of Mathematics. I taught and supervised graduate students (MSC, Higher Diploma) at the Faculty of Computer Science and Mathematics, University of Kufa, teaching undergraduates in the Faculty of Science and Faculty of Computer Science and Mathematics , University of Kufa. Teaching undergraduates in the Faculty of Sciences and the College of Education , University of Babylon.
Research Interests: Topology, Graph Theory, and Applied Linear Algebra.
Teaching Interests: Topology, Linear algebra, Graph theory, and Databases.
Selected Publications:
1. Strongly Regular Spaces, Journal of Babylon University, VOL.14 NO.4 ,2007.
2. V- Connected Spaces, Journal of Babylon University, VOL.17 NO.3 ,2009.
3. ON Certain Types of - Continuous Functions ,
The Proceedings of the First Scientific Conference of Pure and Applied Sciences / University of Kufa 2008.
4. The Closed Limit Point Compactness, International Journal of Mathematics Trends and Technology – Volume 13 Number 1 – Sep 2014, 10-12.
5. Using the Connected Components of Topological Spaces in Cryptography, International Journal of Mathematics Trends and Technology – Volume 12 Number 1 – Aug 2014, 31-33.
6. On The Stability of Fixed Points in Topological Spaces, Journal of Kufa for Mathematics and Computer Vo l . 2 , No . 2 , Dec 2014, pp 11-19.
7. The Open Limit Point Compactness, Journal of Kufa for Mathematics and Computer Vo l . 2 , No . 2 , Dec 2014, pp 20-23.
8. Construction New Types of Matrices, IJMTT - Vo24 Number2 – August 2015, pp84-91.
9. Orthogonal of Type I Matrices with Application, Applied Mathematical Sciences, Vol. 11, 2017, no. 40, 1983 - 1994.
10. A study of h-Orthogonal of Type I Matrices , International Educational Scientific Research Journal, Vol. 3, 2017. ISSUE 7, 86-96.
11. On the Open Limit Point Compactness and Soft Open Limit Point Compactness, Applied Mathematical Sciences, Vol. 11, 2017, no. 54, 2697 – 2706.

Department of Mathematics,
Faculty of Computer Science and Mathematics,
University of Kufa
Kufa - p. 21 Iraq / Najaf
Mobile +964 (0) 7802424996
Email: abdulhamza.hamza @ uokufa.edu.iq

Research Interests

3

Publications

7
2020

On DG-topological spaces associated with directed graphs

AuthorsKhalid Shea Khaiarallha Al’Dzhabri, Abedal-Hamza Mahdi Hamza Yousif Saheb Eissa
JournalJournal of Discrete Mathematical Sciences and Cryptography
Abstract

In this research the aims we introduction of new concepts in topological spaces named DG- topological spaces topology associated with digraphs induced by new open set called DG-open set and investigated some properties of this concepts by the closed connection between topology and digraphs.

2020

APPLICATIONS OF LINEAR TRANSFORMATIONS

AuthorsAbedal-Hamza Mahdi Hamza
JournalInternational Journal of Recent Advances in Multidisciplinary Research
Abstract

In this paper, we applied linear transformations in the graph theory. Firstly, we constructed vector spaces of a finite number of elements over the field ℱ = {0,1}.Then we used them to construct linear transformations.

2020

Semi-Stability of Fixed Points

AuthorsAbedal-Hamza Mahdi Hamza
JournalInternational Journal of Engineering and Information Systems
Abstract

In this paper, we introduced new types of stability:semi-stability, semi-c-stability, semi-ic-stability and we discussed the relationships among them and the among them and other types of stability which are stability, c-stability and ic-stability. We discussed the semi-stability of fixed point with respect to different topologies.

2020

Pre-Stability of Fixed Point

AuthorsAbedal-Hamza Mahdi Hamza
JournalIOP Conf. Series: Materials Science and Engineering
Abstract

In this paper, we introduced certain types of stability of the fixed points in discrete dynamical systems which are pre-stability, pre-c-stability, and pre-ic-stability. We studied the relationships among these types of stability, also the relationships among these types of stability and certain types of stability which are stability, cstability, and ic-stability

2020

Linear Transformations of Type(I) and Linear Transformations of Type(II)

AuthorsAbedal-Hamza Mahdi Hamza
JournalInternational Journal of Engineering and Information Systems
Abstract

In this paper, we introduce certain types of linear transformations such that linear transformations of type(I) and of type(II) with respected to ordered bases. We prove that these linear transformations are invertible and we discuss the composition of two linear transformations of each type. We give a formula to find the inverse of the matrix representation of each type.

2020

On DG-Topological operators Associated with Digraphs

AuthorsKhalid Shea Khaiarallha Al’Dzhabri , Abedal-Hamza Mahdi Hamza
JournalJournal of Al-Qadisiyah for Computer Science and Mathematics
Abstract

In this paper ,we introduced new concepts of DG−topological operators such as DG−closuer ,DG−kernel ,DG−cor, and DG−intiorer and we investigated certain types betweenthe digraphs and the topology by associated new topology on a digraph named DG−topological space .

2017

Orthogonal of Type I Matrices with Application

AuthorsAbedal-Hamza Mahdi Hamza
JournalApplied Mathematical Sciences
Abstract

In this paper, we introduced a new type of matrices, we called it orthogonal of type I matrix. It is a generalization of orthogonal matrices. We defined the index of these matrices and we studied some of their properties such as inverse and eigenvalues and eigenvectors. The importance of these matrices comes from the fact that they are invertible, and we have formulas for their inverses which are derived by simple calculations and we used the orthogonal of type I matrices to constructnew algorithm in cryptography system.

Lectures

4
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