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Name : FAWZI AHMED AL-THUKAIR
Date of Birth : March 6, 1954
Current Academic Position : Associate Professor in Mathematics
Highest Academic Qualification : Ph.D. in Mathematics
Current Address: Department of Mathematics
College of Science
King Saud University
P.O. Box 2455, Riyadh 11451
Saudi Arabia
Tel.: 4676516
E-mail: thukair@ksu.edu.sa
Academic Qualifications:
1981 Ph.D. in Mathematics, University of California, Los Angeles.
Title of Thesis - Number Fields with Equal L-Series or Zeta Functions.
1977 M.Sc. in Mathematics, University of California, Los Angeles.
1975 B.Sc. in Mathematics, University of Basrah.
Employment:
July 1993 – Present Associate Professor, College of Science, King Saud University
1982 – July 1993 Assistant Professor, College of Science, King Saud University
1981 – 1982 Assistant Professor, College of Architecture and Planning, King Faisal University
1976 – 1981 Scholarship Student in University of California, Los Angeles
1979 – 1980 Teaching Assistant, University of California, Los Angeles
1975 – 1976 Teaching Assistant, King Faisal University, Saudi Arabia
Positions Held:
August 2003- present Chief editor of the Arab Journal of Mathematical Sciences
April 1993 – April 1999 President of the Saudi Association for Mathematical Sciences
Feb. 1992 – Jan. 1994 Head of Mathematics Department at King Saud University
Research:
1. F. Al-Thukair and S. Al-Salman, On Transitive (2,3,6) Groups of degree n < 23, Arab Gulf J. Scient. Res., 4 (2) pp. 573-585 (1986)
2. F. Al-Thukair and S. Al-Salman, On Finite (2,3,6) Groups, Math. Japonica 33, No 1 pp. 1-15 (1988)
3. F. Al-Thukair and N. Zaguia, Greedy Linear Extensions For Minimizing Bumps, Order 4 pp. 55-63 (1987)
4. F. Al-Thukair, Ivan Rival, et al., Motion Planning, Two Directional Point Representations and ordered Sets, SIAM Journal on Discrete Math., 4 No 2 pp.151-163 (1991)
5. F. Al-Thukair and Aslam Noor, Complimentarity Problems in Semi-Inner Product Spaces, Appl. Math. Lett. 3 No 3 pp.85-87 (1990)
6. F. Al-Thukair, An Iterative Algorithm for the Order Complimentarity Problem, J. of Natural Sciences and Mathematics, 31 No. 1 pp.17-21 (1991)
7. F. Al-Thukair and Marouf Samhan, Fuzzy Algebraic Structures of Universal Algebras, Arab Gul J. Scient. Res., 10 (3) pp. 1-15 (1992)
8. F. Al-Thukair, Fuzzy Congruence Pair of Inverse Semigroups, Fuzzy Sets and Systems, 56 pp. 117-122 (1993)
9. F. Al-Thukair and T.M.G. Ahsanullah, Conditions on a Semigroup to be a Fuzzy Neighborhood Group, Fuzzy Sets and Systems, 55 pp. 333-340 (1993)
10. F. Al-Thukair and T.M.G. Ahsanullah, Characterization of Fuzzy Neighborhood Commutative Division Rings, Internat. J. Math. & Math. Sci., Vol. 16 No. 4 pp. 709-716 (1993)
11. F. Al-Thukair and T.M.G. Ahsanullah, Characterization of Fuzzy Neighborhood Commutative Division Rings II, Internat. J. Math. & Math. Sci. Vol. 18 No. 2 pp. 323-330 (1995)
12. F. Al-Thukair, A. Al-Jebri and A. Mirza, Security of McEliece Public-Key Cryptosystem in the Presence of Side Information, Proc. Of 13th NCC, Riyadh Nov. 1992
13. F. Al-Thukair and Marouf Samhan, Fuzzy Ideals and Filters on Lattices, Arab Gulf J. Scient. Res., 12 (2) pp. 187-198 (1994)
14. F. Al-Thukair, A. Al-Jebri and A. Mirza, A Private-Key Cryptoystem Based on Concatenation of Codes. IEE Proc-Commun. Vol. 141 No. 3 pp. 105-110 (1994)
15. F. Al-Thukair, A. Sharaf Eldin and N. Shalabi, Construction of Skolem Sequences Intern. J. Computer Math. , Vol. 70 pp. 333-345 (1998)
16. F. Al-Thukair, S. Singh and I. Zaguia, Maximal Ring of Quotient of an Incidence Algebra, Arch. Math. 80 (2003) 358-362.
17. F. Al-Thukair, T.M.G. Ahsanullah, N-Topo nilpotency in fuzzy neighborhood rings, Int. J. Math. Math. Sci. (2004), No 13-16, 679-696.
18. F. Al-Thukair, T.M.G. Ahsanullah, STS neighborhood groups, Int. J. Math. Math. Sci. (2004), No 13-16,703-719.
19. F. Al-Thukair, T.M.G. Ahsanullah, On the weakability of fuzzy neighborhood systems on various algebraic structures, J. Fuzzy Math. 12, No. 2 ,(2004) 261-284.
20. F. Al-Thukair, S. Singh, Weak Incidence algebras and maximal ring of quotients, Int. J. Math. Math. Sci., No 53, (2004) 2835-2845.
21. F. Al-Thukair, S. Singh, Some chain conditions on weak incidence algebras, Int. J. Math. Math. Sci. , No 15, ( 2005) 2389-2397.
Books:
1. Introduction to Number Theory (in Arabic)
2. Introduction to Linear Algebra with applications ( in Arabic)
3. Introduction to Group Theory ( in Arabic)
4. Translation of the following books
(i) Topics in Algebra by I.N. Herstein
(ii) Galois Theory by Ian Stewart.
(iii) Essential Student Algebra Series by Blyth and Robertson (five parts)
5. Co-authored 12 text Mathematics textbooks and teaching manuals for the final 3 years of high school.
6. Dictionary of Mathematical Sciences.
Conferences Participation:
1. American Mathematical Society Annual Meeting, New York, 1983.
2. British Mathematical Colloquim, Bristol England 1984.
3. Summer Research Meetings of the American Mathematical Society, Arcata, California, 1985.
4. International Congress for Mathematicians, Berkeley, California, 1986.
5. The Second Meeting of Canadian Mathematical Society on Number Theory, Vancouver, British Columbia, 1989.
6. International Congress for Mathematicians, Berlin, Germany 1998.
Supervision of M.Sc. Thesis
1. Co-supervisor on the thesis: Security of the Algebraic Coding Public-key Cryptosystems.
2. Co-supervisor on the thesis: Group Representations and their Application in Differential Equations.
Membership in Societies
1. Member of the American Mathematical Society.
2. Member of the Mathematical Association of America.
3. Member of the Saudi Association for Mathematical Sciences.
4. Member of the Saudi Computer Society.
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