- About
- Admissions
- Study at AUS
- Prospective Students
- Bachelor's Degrees
- Master's Degrees
- Doctoral Degrees
- Admission Publications
- International Students
- Contact Admissions
- Grants and Scholarships
- Sponsorship Liaison Services
- Testing Center
- New Student Guide
- File Completion
- New Student Orientation
- Payment Guide
- Executive Education
- Students with Disabilities
- Academics
- Life at AUS
- Research and Graduate Studies
- Contact Us
- Apply Now
- .
Recent Progress on Three Outstanding Conjectures on n-Absorbing Ideals of Commutative Rings (February 2017)
The Department of Mathematics and Statistics of the College of Arts and Sciences invites you to attend a seminar to be conducted by Dr. Ayman Badawi from American University of Sharjah.
Abstract: Let R be a commutative ring with 1 not equal 0. A proper ideal I of R is called a 2-absorbing ideal of R if a, b, c in R and abc in I, then ab in I or ac in I or bc in I . A more general concept than 2-absorbing ideals is the concept of n-absorbing ideals. Let n > = 1 be an integer. A proper ideal I of R is called an n-absorbing ideal of R if a_1, a_2, a_{n+1} in R and a_1a_2 ... a_{n+1} in I, then there are n of the a_i's whose product is in I. The concept of n-absorbing ideals is a generalization of the concept of prime ideals (note that a prime ideal of R is a 1-absorbing ideal of R). In this talk, we will state recent progress on three outstanding conjectures on n-absorbing ideals of commutative rings.
For further details kindly contact [email protected].