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

Isomorphism Problem For Uniserial Modules Over An Arbitrary Ring