Some Divisibility Properties in Ring of Polynomials over a Unique Factorization Domain

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dc.creatorCaceres, Luis F.
dc.creatorVelez-Marulanda, Jose A.
dc.date2008-06-09
dc.date.accessioned2026-07-07T09:43:21Z
dc.date.available2026-07-07T09:43:21Z
dc.descriptionUsing polynomial evaluation, we give some useful criteria to answer questions about divisibility of polynomials. This allows us to develop interesting results concerning the prime elements in the domain of coefficients. In particular, it is possible to prove that under certain conditions, the domain of coefficients must have infinitely many prime elements. We give alternative characterizations for D-rings and present various examples.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0806.1398
dc.identifierhttp://arxiv.org/abs/0806.1398
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162523
dc.subjectCommutative Algebra
dc.subject13A05
dc.titleSome Divisibility Properties in Ring of Polynomials over a Unique Factorization Domain
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