User:Ayman R Badawi/sandbox

Ayman Badawi, a Professor at the Department of Mathematics and Statistics at the American University of Sharjah, is a prolific researcher in the field of mathematics. With over 25 years of teaching experience at institutions such as Emory & Henry College (USA), the University of Tennessee-Knoxville (USA), and Birzeit University, West Bank, Palestine. He has also made significant contributions to commutative algebra and various topics within this field.

Here are some critical details about Ayman Badawi:

Education: Ph.D. in Algebra: University of North Texas, USA (1993); M.S. in Mathematics: Tennessee Technological University, USA (1988); B.S. Double Major: Mathematics and Computer Science, Tennessee Technological University, USA (1986).

Date of Birth: Ayman Badawi was born on February 14, 1963, in a small village called Dair-Istiya in the West Bank, Palestine.

Teaching Interests: Linear Algebra (for undergraduate and graduate), Abstract Algebra (for undergraduate and graduate), Number Theory, Discrete Math, Calculus, Differential Equations, Math for Architects, Geometry, Graph Theory, Business Math

Research Areas: Commutative Ring Theory: Ayman Badawi’s work is devoted to multiplicative ideal theory (following the school of Kaplansky and Gilmer). He introduced concepts such as phi-commutative Rings, absorbing ideals, the total graph of a commutative ring, the annihilator graph of a commutative ring, and the dot product graph of a commutative ring.

Publications(sample): “Absorbing Ideals in Commutative Rings: A Survey” (June 2023). “On (m, n)-absorbing prime ideals and (m, n)-absorbing ideals of commutative rings” (São Paulo Journal of Mathematical Sciences, February 2023). “Graph of Linear Transformations over R” (Springer Proceedings in Mathematics & Statistics, December 2022). On Weakly 1-Absorbing Primary Ideals of Commutative Rings” (Algebra Colloquium, July 2022). “The n-zero-divisor graph of a commutative semigroup” (Communications in Algebra, April 2022). Graphs from Rings (a book by Springer, January 2021). On 1-absorbing primary ideals of commutative rings (Journal of Algebra and Its Applications, June 2020). Ramsey numbers of partial order graphs (comparability graphs) and implications in ring theory (Open Mathematics, January 2020). On n-semiprimary ideals and n-pseudo valuation domains (Communications in Algebra, May 2020).

For more information, visit https://www.aus.edu/faculty/ayman-badawi, or his website, https://www.ayman-badawi.com, or explore his work on Google Scholar https://scholar.google.ae/citations?user=kk6vsV0AAAAJ&hl=en&oi=ao. Ayman Badawi’s contributions continue to enrich the field of mathematics, particularly the multiplicative ideal theory.

References: 1. Google Scholar, https://scholar.google.ae/citations?user=kk6vsV0AAAAJ&hl=en&oi=ao 2. Scopus, https://www.scopus.com/authid/detail.uri?authorId=7005226578 3.Personal Webpage, https://www.ayman-badawi.com 4. American University of Sharjah, https://www.aus.edu/faculty/ayman-badawi