Abstract First, we give a partial solution to the isomorphism problem for uniserial modules of finite length with the help of the morphisms between these modules. Later, under suitable assumptions on the lattice of the submodules, we give a method to partially solve the isomorphism problem for uniserial modules over an arbitrary ring. Particular attention is given to the natural class of uniserial modules defined over algebras given by quivers.

中文翻译：

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任意环上单串模块的同构问题

摘要 首先，利用模间的态射，对有限长度的单串模的同构问题给出了部分解。之后，在对子模块的格子的适当假设下，我们给出了部分解决任意环上的单串模块的同构问题的方法。特别注意在 quivers 给出的代数上定义的自然类单串模块。