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arXiv · 1910.06173

Isomorphism Problem For Uniserial Modules Over An Arbitrary Ring

Gabriella D'Este·Fatma Kaynarca·Derya Keskin Tütüncü
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Abstract

Firstly, we give a partial solution to the isomorphism problem for uniserial modules of finite length with the help of the morphisms between these modules over an arbitrary ring. 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.

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BibTeXRIS

Gabriella D'Este, Fatma Kaynarca, Derya Keskin Tütüncü. 2019-10-14. Isomorphism Problem For Uniserial Modules Over An Arbitrary Ring. https://arxiv.org/abs/1910.06173

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