$\Sigma$-pure-injective modules for string algebras and linear relations
Rings and Algebras
2017-05-30 v1 Representation Theory
Abstract
We prove that indecomposable -pure-injective modules for a string algebra are string or band modules. The key step in our proof is a splitting result for infinite-dimensional linear relations.
Keywords
Cite
@article{arxiv.1705.10145,
title = {$\Sigma$-pure-injective modules for string algebras and linear relations},
author = {Raphael Bennett-Tennenhaus and William Crawley-Boevey},
journal= {arXiv preprint arXiv:1705.10145},
year = {2017}
}