The Direct Summand Conjecture in Dimension Three

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dc.creatorHeitmann, Raymond C.
dc.date2002-10-15
dc.date.accessioned2026-07-07T04:51:57Z
dc.date.available2026-07-07T04:51:57Z
dc.descriptionThe direct summand conjecture asserts that if R is a regular local ring and S is a module-finite R-algebra containing R, then R is a direct summand of S as an R-module. It was previously known to be true if R contains a field or if dim R is at most two. In this article, the result is demonstrated for mixed characteristic rings of dimension three. The proof is accomplished by showing that an extension of plus closure has the colon-capturing property in dimension three.
dc.description14 pages, no figues
dc.identifierhttps://arxiv.org/abs/math/0210223
dc.identifierhttp://arxiv.org/abs/math/0210223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65296
dc.subjectCommutative Algebra
dc.subject13D22
dc.titleThe Direct Summand Conjecture in Dimension Three
dc.typetext

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