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 expressed in terms of the integral closure of its row ideals, and therefore can be obtained by means of a simple computer algebra procedure. 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.

中文翻译：

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可整体分解模块的分析扩展和整体封闭

我们将表示为两个子模块的直接和的模块的分析扩展与其组件的分析扩展联系起来。我们还研究了一类子模块，其积分闭包可以用其行理想的积分闭包来表示，因此可以通过简单的计算机代数程序获得。特别是，我们分析了一类不一定是最大秩的模块，其积分闭合由其行理想的牛顿多面体族决定。