Inverse limits of algebras as retracts of their direct products
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- by A. Laradji PDF
- Proc. Amer. Math. Soc. 131 (2003), 1007-1010 Request permission
Abstract:
Inverse limits of modules and, more generally, of universal algebras, are not always pure in corresponding direct products. In this note we show that when certain set-theoretic properties are imposed, they even become direct summands.References
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Additional Information
- A. Laradji
- Affiliation: Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
- Email: alaradji@kfupm.edu.sa
- Received by editor(s): April 3, 2001
- Received by editor(s) in revised form: October 26, 2001
- Published electronically: September 25, 2002
- Communicated by: Carl G. Jockusch, Jr.
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1007-1010
- MSC (2000): Primary 08B25, 03E55
- DOI: https://doi.org/10.1090/S0002-9939-02-06666-2
- MathSciNet review: 1948088