\(\Sigma\)-pure-injective modules for string algebras and linear relations

DOI10.1016/J.JALGEBRA.2018.07.032zbMath1434.16003arXiv1705.10145OpenAlexW2963745380WikidataQ59881962 ScholiaQ59881962MaRDI QIDQ1786460

Raphael Bennett-Tennenhaus, William Crawley-Boevey

Publication date: 24 September 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10145

zbMATH Keywords

linear relationstring algebrapure-injective module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Projectives and injectives (category-theoretic aspects) (18G05)

Cites Work

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• Ringel's conjecture for domestic string algebras
• Classification des représentations de la double flèche. (Classification of representations of the double arrow)
• The indecomposable representations of the dihedral 2-groups
• Pure-injective modules over the dihedral algebras
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Classification of modules for infinite-dimensional string algebras
• One-directed indecomposable pure injective modules over string algebras
• INDECOMPOSABLE REPRESENTATIONS OF THE LORENTZ GROUP

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