Isomorphism Problem For Uniserial Modules Over An Arbitrary Ring
Representation Theory
2019-10-15 v1 Rings and Algebras
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.
Cite
@article{arxiv.1910.06173,
title = {Isomorphism Problem For Uniserial Modules Over An Arbitrary Ring},
author = {Gabriella D'Este and Fatma Kaynarca and Derya Keskin Tütüncü},
journal= {arXiv preprint arXiv:1910.06173},
year = {2019}
}
Comments
11 pages