ANALYTIC SPREAD AND INTEGRAL CLOSURE OF INTEGRALLY DECOMPOSABLE MODULES

ANALYTIC SPREAD AND INTEGRAL CLOSURE OF INTEGRALLY DECOMPOSABLE MODULES
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可积分分解模块的解析展开和积分闭合

DOI:
10.1017/nmj.2020.35
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发表时间:
2020
影响因子:
0.8
通讯作者:
Jonathan Montaño
Jonathan Montaño
中科院分区:
数学2区
文献类型:
--
作者:
Carles Bivià;Jonathan Montaño

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本文将表示为两个子模的直和的模的解析展度与其分支的解析展度联系起来。我们还研究了一类子模,其积分闭包可以用它的行理想的积分闭包来表示,因此可以通过一个简单的计算机代数过程来获得。特别是,我们分析了一类模块,不一定是最大的秩,其积分封闭是由家庭的牛顿多面体的行理想。
Abstract 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.
DOI: 10.1016/j.jalgebra.2020.03.029
发表时间: 2020
期刊: Journal of Algebra
影响因子: 0.9
作者:
Kei-ichi Watanabe;高村 茂;Toshiro Hiranouchi;Hayasaka Futoshi
通讯作者: Hayasaka Futoshi
DOI: --
发表时间: 2006
期刊: Integrable systems, geometry, and topology, AMS/IP Studies of Advanced Mathematics, American Mathematical Society 36
影响因子: --
作者:
FURUYA;Jun;Martin Guest
通讯作者: Martin Guest