Dr Ayman Badawi

• Associate Professor of Pure Mathematics
  E-mail: abring@birzeit.edu
• Phone( home) 972-2-240-4626. Office (972)-2-298-2144.
• Birth date: 14/2/63
• Married with one child.
  
  Education:
   
• Dept. of Mathematics, Univ. of North Texas, Denton, TX 76203, U.S.A (PH.D 1991-93, Confirmed, May, 93).
   
• Dept. of Mathematics, Univ. of Tennessee, Knoxville, TN 37996, U.S.A (Working towards a PH.D 88-91).
   
• Dept. of Mathematics, Tenn. Tech. Univ., Cookeville, TN 35805, U.S.A (MS in Mathematics 86-88).

• Dept. of Mathematics and Computer Science, Tenn. Tech. Univ., Cookeville, TN 35805, U.S.A (BS in Mathematics and BS in Computer Science 82-86) .
   

  Area of research:

  Commutative Ring Theory: Multiplicative ideal theory, Valuation domains, Pseudo-valuation rings, Chained rings, Integral closure of rings, and Regular rings.

             Publications:

         a. International Journal Articles

1. A. Badawi, " On nonnil-Noetherian rings," to appear in Comm. Algebra,  Marcel Dekker, U. S. A. (English).

2. A. Badawi,  "On Divided rings and Φ-pseudo-valuation rings," International J. Comm. Rings (IJCR), Vol. 1(2002), 51-60.  U. S. A. (English)

3. A. Badawi, " On Φ-chained rings and Φ-pseudo-valuation rings," Houston J. Math 27(2001), 725-736.

4. A. Badawi, "On Φ-pseudo-valuation rings, II," Houston J. Math. 26(2000), 473-480. U. S. A. (English)

5. A. Badawi," Remarks on pseudo-valuation rings", Comm. Algebra 28(2000), 2343-2358. (English)

6. A. Badawi, "On Chained overrings of pseudo-valuation rings," Comm. Algebra 28(2000), 2359-2366. U. S. A. (English)

7. A. Badawi," On divided commutative rings," Comm. Algebra 27(1999), 1465-1474. U. S. A. (English)

8. A. Badawi," On comparability of ideals of commutative rings," Comm. Algebra 26(1998), 793-802. U. S. A. (English)

9. A. Badawi, " On Abelian π-regular rings," Comm. Algebra 25(1997), 1009-1021. U. S. A. (English)

10. A. Badawi," On domains which have prime ideals that are linearly ordered," Comm. Algebra 23(1995), 4365-4373. U. S. A. (English)

11. A. Badawi, " On semicommutative π-regular rings," Comm. Algebra 22(1994), 151-157. U. S. A. (English)

12. A. Badawi, " $R_n$ contains a division ring iff R does," Amer. Math. Monthly, 100(1994),679-680. U. S. A (English)

13. A. Badawi and D. F. Anderson,"On phi-Prufer rings and phi-Bezout rings," accepted, to appear in Houston J. of Mathematics.

14. A. Badawi and D. F. Anderson," On root closure in commutative rings," Arabian J. of Science and Engineering (Arabian J. Sci. Engrg), Vol. 26, 1C(2001), 17-30. (English)

15. A. Badawi and D. F. Anderson, " Divisibility conditions in commutative rings with zerodivisors," Comm. Algebra  38(2002), 4031-4047. U. S. A.  (English)

16. A. Badawi and D. F. Anderson and D. E. Dobbs "Pseudo-valuation rings II," Boll. Un. Mat. Ital. B(8)3(2000), 535-545. Italy (English)

17. A. Badawi and David E. Dobbs, " On Locally divided rings and going down rings," Comm. Algebra. 29(2001), 2805-2825.  U. S. A. (English)

18. A. Badawi and E. Houston," Powerful ideals, strongly primary ideals, almost pseudo-valuation domains, and conducive domains," Comm. Algebra  30(2002), 1591-1606. U. S. A. (English)

19. A. Badawi, A. Y. M. Chin, and H. V. Chen, “ On rings with near idempotent elements,” International J. of Pure and Applied Mathematics, 1(2002), 255-261

 

                  b. Articles in International Conference Proceedings

1. A. Badawi, " On nonnil-Noetherian rings, II," (Venice-Conference, June, 2002, Italy)to appear in Lecture Notes Pure Appl. Math. Marcel Dekker, New York/Basel. U. S. A. (English)

2. A. Badawi, " On the complete integral closure of rings that admit a Φ-strongly prime ideal," Lecture Notes Pure Appl. Math. Vol. 231(2002), 15-22. Marcel Dekker, New York/Basel. U. S. A. (English)

3.A. Badawi, "Pseudo-valuation domains: A Survey,"  Proceedings of the Third Palestinian International Conference on Mathematics,  38-59(2002), Word Scientific Publishing Co., New York/London. (English)

 4. A. Badawi, " On Φ-pseudo-valuation rings," Advances in commutative ring theory, Lecture Notes Pure Appl. Math. Vol.205(1999), 101-110, Marcel Dekker, New York/Basel. U. S. A. (English)

5. A. Badawi, " A visit to valuation and pseudo-valuation domains," Lecture Notes Pure Appl. Math. Vol. 185(1995), 57-69, Marcel Dekker, New York/Basel. U. S. A. (English)

6. A. Badawi and D. E. Dobbs, " Some examples of locally divided rings," Lecture Notes Pure Appl. Math., Vol. 220(2001), 73-83. Marcel Dekker, New York/Basel. U. S. A. (English)

 7. A. Badawi and D. F. Anderson, " Conditions equivalent to seminormality in certain classes of commutative rings,"  Lecture Notes Pure Appl. Math., Vol. 220(2001), 49-59, Marcel Dekker, New York/Basel. U. S. A. (English)

 8. A. Badawi and D. F. Anderson and D. E. Dobbs, " Pseudo-valuation rings," Lecture Notes Pure Appl. Math. Vol. 185(1997), 57-67, Marcel Dekker, New York/Basel. U. S. A. (English)

                Books

1. A. Badawi, Abstract Algebra Manual: Problems and Solutions, Published by NOVA SCIENCE PUBLISHERS INC., NEW YORK, (2001) U. S. A. (English), ISBN 1-56072-834-5.

2. A. Badawi, Commutative Rings, Nova Science, New York, U. S. A., to appear in Jan., 2003.  (English)