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

Full-text PDF

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