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Book Review
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Book Information
Author(s):
Paul C. Eklof and Alan H. Mekler
Title:
Almost free modules. Set-theoretic methods
Additional book information:
North-Holland, Amsterdam, New York, Oxford, and Tokyo, 1990, 481 pp., US$115.50. ISBN 0-444-88502-1
References:
- [1]
- A. L. S. Corner, Every countable reduced torsion-free ring is an endomorphism ring, Proc. London Math. Soc. (3) \textbf{13} (1963), 687--710.
- [2]
- J. Dixmier, Quelques propri\'et\'es des groupes ab\'eliens localement compacts, Bull. Sci. Math. \textbf{81} (1957), 38--48.
- [3]
- M. Dugas and R. G\"obel, Every cotorsion-free ring is an endomorphism ring, Proc. London Math. Soc. (3) \textbf{45} (1982), 319--336.
- [4]
- A. Ehrenfeucht, On a problem of J. H. C. Whitehead concerning abelian groups, Bull. Acad. Polon. Sci. Cl. III \textbf{3} (1955), 127--128.
- [5]
- S. Shelah, Infinite Abelian groups, Whitehead problem and some constructions, Israel J. Math. \textbf{18} (1974), 243--256.
- [6]
- S. Shelah, A combinatorial theorem and endomorphism rings of abelian groups {\rm II, Abelian Groups and Modules, CISM Courses and Lectures, no. 287}, Springer-Verlag, 1987, pp. 37--86.
- [7]
- K. Stein, Analytische Funktionen mehrerer komplexer Ver\"anderlichen zu vorgegebenen Periodizit\"atsmoduln und das zweite Cousinsche Problem, Math. Ann. \textbf{123} (1951), 201--222.
Additional Information:
Reviewer(s):
Laszlo
Fuchs
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
141-144.
DOI:
10.1090/S0273-0979-1993-00333-1
PII:
S 0273-0979(1993)00333-1
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