The Science Seminar Series: OCtober 21, 2010
On Certain Divisibility Property of Polynomials
Dr. Jose Velez-Marulanda
Department of Mathematics & Computer Science
Valdosta State University
Student Union Theater
Time: 4:00 -5:00pm
We review the definition of D-rings introduced by H. Gunji & D. L. MacQuillan in 1975. We provide alternative characterizations for such rings that allows us to give an elementary proof of that a ring of integers over a quadratic field is a D-ring and give a criteria to determine divisibility of polynomials using polynomial evaluations.