Ayman Badawi

Commutative Ring Theory. Most of my work is devoted to multiplicative ideal theory (school of Kaplansky and Gilmer). For example, I introduced the following concepts: phi-Commutative Rings , a class of commutative rings contains the class of integral domains. I introduced the concepts of absorbing ideals, Total graph of a commutative ring, annihilator graph of a commutative ring, dot-product graph of a commutative rings. Other interests include regular rings and their generalizations.