Research Interests: Commutative rings, Chained rings, Prufer rings, Dedekind rings, Pseudo-valuation rings, Nonnil-Noetherian rings, Phi-commutative rings, Pi-regular rings.
Selected Publications (for more details visit www.ayman-badawi.com ):
1. A. Badawi and Davif F. Anderson, " on phi-Dedekind rings and phi-Krull rings,” Houston J. Math 2005(31), 1007-1022.
2. A. Badawi, "Factoring nonnil ideals as a product of prime and invertible ideals," Bulletin of the London Math. Society 37(2005), 665-672.
3. A. Badawi, "A Characterization of valuation domains via m-canonical ideals," Comm. Algebra 32(2004), 4363-4374.
4. A. Badawi, " On nonnil-Noetherian rings," Comm. Algebra 31(2003), 1669-1677.
5. A. Badawi and E. Houston," Powerful ideals, strongly primary ideals, almost pseudo-valuation domains, and conducive domains," Comm. Algebra 30(2002), 1591-1606.
6. A. Badawi, " On Abelian pi-regular rings," Comm. Algebra, 25(1997), 1009-1021.
Books:
1. Abstract Algebra Manual: Problems and Solutions *2nd Edition* Author: Badawi, Ayman (American University of Sharjah, United Arab Emirates) Pub. Date: 2004
2.
Focus on Commutative Rings Research : Editor: Ayman Badawi (American University of Sharjah, United Arab Emirates) Pub. Date: 2006
3. Mathematics Research at the Leading Edge
Editors: Ayman Badawi, Mahmoud Anabtawi, David F. Anderson, Saber Elaydi
Pub. Date: 2006
4. Trends in Commutative Rings Research : Editor: Badawi, Ayman (American University of Sharjah, United Arab Emirates) Pub. Date: 2004
