The content of a Gaussian polynomial is invertible

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dc.creatorLoper, K. Alan
dc.creatorRoitman, Moshe
dc.date2003-09-11
dc.date.accessioned2026-07-07T05:01:03Z
dc.date.available2026-07-07T05:01:03Z
dc.descriptionLet R be an integral domain and let f(X) be a nonzero polynomial in R[X]. The content of f is the ideal c(f) generated by the coefficients of f. The polynomial f(X) is called Gaussian if c(fg)=c(f)c(g) for all g(X) in R[X]. It is well known that if c(f) is an invertible ideal, then f is Gaussian. In this note we prove the converse.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0309195
dc.identifierhttp://arxiv.org/abs/math/0309195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68541
dc.subjectCommutative Algebra
dc.subject13 B25
dc.titleThe content of a Gaussian polynomial is invertible
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