Note on the star operations over polynomial rings

Simple item page
dc.creatorMimouni, Abdeslam
dc.date2007-02-06
dc.date2007-11-15
dc.date.accessioned2026-07-07T08:43:01Z
dc.date.available2026-07-07T08:43:01Z
dc.descriptionThis paper studies the notions of star and semistar operations over a polynomial ring. It aims at characterizing when every upper to zero in $R[X]$ is a $*$-maximal ideal and when a $*$-maximal ideal $Q$ of $R[X]$ is extended from $R$, that is, $Q=(Q\cap R)[X]$ with $Q\cap R\not =0$, for a given star operation of finite character $*$ on $R[X]$. We also answer negatively some questions raised by Anderson-Clarke by constructing a Prüfer domain $R$ for which the $v$-operation is not stable.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0702142
dc.identifierhttp://arxiv.org/abs/math/0702142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142170
dc.subjectCommutative Algebra
dc.subject13A15; 13F20
dc.titleNote on the star operations over polynomial rings
dc.typetext

Files

Collections

arXiv