论文标题

积分分析模块的分析扩展和整体封闭

Analytic spread and integral closure of integrally decomposable modules

论文作者

Bivià-Ausina, Carles, Montaño, Jonathan

论文摘要

我们将表示为两个子模块的直接总和的模块与其组件的分析扩散相关联。我们还研究了一类子模型,一旦已知每行理想的整体闭合,就可以通过简单的计算机代数程序获得积分闭合。特别是,我们分析了一类模块,不一定是最大等级的模块,它们的整体闭合是由他们的行理想的牛顿多面体家族决定的。

We relate the analytic spread of a module expressed as the direct sum of two submodules with the analytic spread of its components. We also study a class of submodules whose integral closure can be obtained by means of a simple computer algebra procedure once the integral closure of each row ideal is known. In particular, we analyze a class of modules, not necessarily of maximal rank, whose integral closure is determined by the family of Newton polyhedra of their row ideals.

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