Dedekind整环上的不可分解扭模

Indecomposable Torsion Modules over Dedekind Domains

中文关键词:  扭模  Dedekind环  局部幂零模.

英文关键词:torison module  Dedekind ring  locally-nilpotent module.

中文摘要:

      我们给出Dedekind整环上不可分解扭模分类定理的直接证明.作为应用,我们分类了单变元多项式上不可分解的局部幂零模.

英文摘要:

      We give a direct proof to the classification of all indecomposable torsion modules over a Dedekind ring. As an application, we classify all indecomposable locally-nilpotent modules over the polynomial algebra with one variable over a field.