Bennett-Tennenhaus, R and Crawley-Boevey, W (2018) Sigma-pure-injective modules for string algebras and linear relations. Journal of Algebra, 513. pp. 177-189. ISSN 1090-266X
Abstract
We prove that indecomposable Σ-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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 Elsevier Inc. This is an author produced version of a paper published in Journal of Algebra. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | String algebra; Linear relation; Pure-injective module |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 03 Aug 2018 14:34 |
Last Modified: | 01 Aug 2019 00:42 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jalgebra.2018.07.032 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:134102 |
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Filename: Sigmapureinjectives-string-relations-jalg-revised.pdf
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