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Superdecomposable pure-injective modules exist over some string algebras


Author: Gena Puninski
Translated by:
Journal: Proc. Amer. Math. Soc. 132 (2004), 1891-1898
MSC (2000): Primary 16G20, 16D50
DOI: https://doi.org/10.1090/S0002-9939-03-07292-7
Published electronically: December 18, 2003
MathSciNet review: 2053958
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that over every non-domestic string algebra over a countable field there exists a superdecomposable pure-injective module.


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Additional Information

Gena Puninski
Affiliation: Department of Mathematics, The Ohio State University at Lima, 4240, Campus Drive, Lima, Ohio 45804
Email: puninskiy.1@osu.edu

DOI: https://doi.org/10.1090/S0002-9939-03-07292-7
Keywords: Pure-injective module, string algebra, superdecomposable module
Received by editor(s): December 9, 2001
Received by editor(s) in revised form: March 19, 2003
Published electronically: December 18, 2003
Additional Notes: This paper was written while the author visited the University of Manchester and was supported by EPSRC grant GR/R44942/01. He would like to thank the University for their kind hospitality
Communicated by: Martin Lorenz
Article copyright: © Copyright 2003 American Mathematical Society

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