SUPERDECOMPOSABLE PURE INJECTIVE MODULES OVER COMMUTATIVE NOETHERIAN RINGS

Puninskaya V; Toffalori C

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SUPERDECOMPOSABLE PURE INJECTIVE MODULES OVER COMMUTATIVE NOETHERIAN RINGS

机译：交换Noeterian环上的超分解纯注射模块

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We investigate width and Krull-Gabriel dimension over commutative Noetherian rings which are "tame" according to the Klingler-Levy analysis in [4-6], in particular over Dedekind-like rings and their homomorphic images. We show that both are undefined in most cases.

机译：我们根据[4-6]中的Klingler-Levy分析，特别是在Dedekind类环及其同态图像上，研究了换向Noetherian环上呈“适度”的Nome环的宽度和Krull-Gabriel尺寸。我们证明在大多数情况下两者都是不确定的。

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《Journal of algebra and its applications》 |2008年第6期|共22页
作者
Puninskaya V; Toffalori C;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Artinian triad; Drozd ring; Klein ring; Dedekind-like ring; Krull-Gabriel dimension; width; superdecomposable pure injective module; REPRESENTATION TYPE; ALGEBRAS; DIMENSION;

机译：Artinian三元组;Drozd环;Klein环;Dedekind状环;Krull-Gabriel尺寸;宽度;超可分解的纯内射模;表示类型;代数;尺寸;

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专利

1. SUPERDECOMPOSABLE PURE INJECTIVE MODULES OVER COMMUTATIVE NOETHERIAN RINGS [J] . Puninskaya V, Toffalori C Journal of algebra and its applications . 2008,第6期

机译：交换Noeterian环上的超分解纯注射模块
2. Superdecomposable Pure-Injective Modules and Integral Group Rings [J] . Gena Puninski, Vera Puninskaya and Carlo Toffalori Journal of the London Mathematical Society . 2006,第1期

机译：超分解纯内射模和整体式环
3. Krull Dimension of Injective Modules Over Commutative Noetherian Rings [J] . Patrick F. Smith Canadian Mathematical Bulletin . 2005,第2期

机译：交换Noether环上的内射模的Krull维数
4. The Computation of Purity Filtrations over Commutative Noetherian Rings of Operators and their Application to Behaviors [C] . Oberst Ulrich International Workshop on Multidimensional Systems . 2013

机译：交换算子Noether环上纯度过滤的计算及其在行为中的应用
5. Homology of artinian modules over commutative noetherian rings . [D] . Leamer, Micah Josiah. 2011

机译：交换Noetherian环上artinian模的同源性。
6. THE CATEGORY OF NOETHERIAN MODULES [O] . Tsit-Yuen Lam 2013

机译：NOETHERIAN模块的类别
7. Secondary representations for injective modules over commutative Noetherian rings [O] . Rodney Y. Sharp 1976

机译：换向Neetherian环上注射模块的次要表示

SUPERDECOMPOSABLE PURE INJECTIVE MODULES OVER COMMUTATIVE NOETHERIAN RINGS

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