The isomorphism problem for uniserial modules over an arbitrary ring

Gabriella D’Este; Fatma Kaynarca; Derya Keskin Tütüncü

doi:10.1080/00927872.2020.1754842

The isomorphism problem for uniserial modules over an arbitrary ring

Gabriella D’Este
, Fatma Kaynarca
, Derya Keskin Tütüncü

Division of Algebra and Number Theory

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	4027-4036
Number of pages	10
Journal	Communications in Algebra
Volume	48
Issue number	9
DOIs	https://doi.org/10.1080/00927872.2020.1754842
Publication status	Published - 1 Sept 2020

Keywords

Quivers
representations
uniform modules
uniserial modules

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10.1080/00927872.2020.1754842

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AU - Tütüncü, Derya Keskin

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N2 - 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.

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KW - Quivers

KW - representations

KW - uniform modules

KW - uniserial modules

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The isomorphism problem for uniserial modules over an arbitrary ring

Abstract

Keywords

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