On Certain Divisibility Property of Polynomials
Commutative Algebra
2010-10-29 v1
Abstract
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.
Cite
@article{arxiv.1010.5952,
title = {On Certain Divisibility Property of Polynomials},
author = {Luis F. Caceres and Jose A Velez Marulanda},
journal= {arXiv preprint arXiv:1010.5952},
year = {2010}
}