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arXiv · 1010.5952

On Certain Divisibility Property of Polynomials

Luis F. Caceres·Jose A Velez Marulanda
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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.

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Luis F. Caceres, Jose A Velez Marulanda. 2010-10-28. On Certain Divisibility Property of Polynomials. https://arxiv.org/abs/1010.5952

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