Local--Global Properties for Semistar Operations

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dc.creatorFontana, Marco
dc.creatorJara, Pascual
dc.creatorSantos, Eva
dc.date2003-05-14
dc.date.accessioned2026-07-07T06:23:54Z
dc.date.available2026-07-07T06:23:54Z
dc.descriptionWe study the "local" behavior of several relevant properties concerning semistar operations, like finite type, stable, spectral, e.a.b. and a.b. We deal with the "global" problem of building a new semistar operation on a given integral domain, by "gluing" a given homogeneous family of semistar operations defined on a set of localizations. We apply these results for studying the local--global behavior of the semistar Nagata ring and the semistar Kronecker function ring. We prove that an integral domain $D$ is a Pr{ü}fer $\star$--multiplication domain if and only if all its localizations $D_{P}$ are Pr{ü}fer $\star_P$--multiplication domains.
dc.identifierhttps://arxiv.org/abs/math/0305202
dc.identifierhttp://arxiv.org/abs/math/0305202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96367
dc.subjectCommutative Algebra
dc.subject13F05; 13G05
dc.titleLocal--Global Properties for Semistar Operations
dc.typetext

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