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Inverse limits of algebras as retracts of their direct products
Author:
A. Laradji
Journal:
Proc. Amer. Math. Soc. 131 (2003), 1007-1010
MSC (2000):
Primary 08B25, 03E55
Posted:
September 25, 2002
MathSciNet review:
1948088
Full-text PDF Free Access
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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.
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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
DOI:
http://dx.doi.org/10.1090/S0002-9939-02-06666-2
PII:
S 0002-9939(02)06666-2
Received by editor(s):
April 3, 2001
Received by editor(s) in revised form:
October 26, 2001
Posted:
September 25, 2002
Communicated by:
Carl G. Jockusch, Jr.
Article copyright:
© Copyright 2002 American Mathematical Society
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