The equality I^2=QI in Buchsbaum rings with multiplicity two

dc.creatorGoto, Shiro
dc.creatorSakurai, Hideto
dc.date2003-06-09
dc.date.accessioned2026-07-07T04:58:41Z
dc.date.available2026-07-07T04:58:41Z
dc.descriptionLet A be a Buchsbaum local ring with the maximal ideal m and let e(A) denote the multiplicity of A. Let Q be a parameter ideal in A and put I=Q:m. Then the equality I^2=QI holds true, if e(A)=2 and depthA>0. The assertion is no longer true, unless e(A)=2. Counterexamples are given.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0306146
dc.identifierhttp://arxiv.org/abs/math/0306146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67741
dc.subjectCommutative Algebra
dc.subject13B22(Primary), 13H10(Secondary)
dc.titleThe equality I^2=QI in Buchsbaum rings with multiplicity two
dc.typetext

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