2010/10/28 by Luis F. Caceres, Caceres, Luis F., Jose A Velez Marulanda +1
Computer Science · Mathematics · #Advanced Topics in Algebra #Polynomial and algebraic computation #Rings, Modules, and Algebras #math.AC
paper · pdf · doi:10.48550/arxiv.1010.5952
arxiv created 2010/10/28 · arxiv updated 2010/10/29
We review the definition of D-rings introduced by H. Gunji & D. L. MacQuillan. We provide an alternative characterization for such rings that allows us to give an elementary proof of that a ring of algebraic integers is a D-ring. Moreover, we give a characterization for D-rings that are also unique factorization domains to determine divisibility of polynomials using polynomial evaluations.