Book Review
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MathSciNet review:
1568004
Full text of review:
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This review is available free of charge.
Book Information:
Author:
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.
A. L. S. Corner, Every countable reduced torsion-free ring is an endomorphism ring, Proc. London Math. Soc. (3) 13 (1963), 687–710. MR 153743, DOI 10.1112/plms/s3-13.1.687
Jacques Dixmier, Quelques propriétés des groupes abéliens localement compacts, Bull. Sci. Math. (2) 81 (1957), 38–48 (French). MR 97457
Manfred Dugas and Rüdiger Göbel, Every cotorsion-free ring is an endomorphism ring, Proc. London Math. Soc. (3) 45 (1982), no. 2, 319–336. MR 670040, DOI 10.1112/plms/s3-45.2.319
A. Ehrenfeucht, On a problem of J. H. C. Whitehead concerning Abelian groups, Bull. Acad. Polon. Sci. Cl. III. 3 (1955), 127–128. MR 0069163
Saharon Shelah, Infinite abelian groups, Whitehead problem and some constructions, Israel J. Math. 18 (1974), 243–256. MR 357114, DOI 10.1007/BF02757281
Saharon Shelah, A combinatorial theorem and endomorphism rings of abelian groups. II, Abelian groups and modules (Udine, 1984) CISM Courses and Lect., vol. 287, Springer, Vienna, 1984, pp. 37–86. MR 789808, DOI 10.1007/978-3-7091-2814-5_{3}
Karl Stein, Analytische Funktionen mehrerer komplexer Veränderlichen zu vorgegebenen Periodizitätsmoduln und das zweite Cousinsche Problem, Math. Ann. 123 (1951), 201–222 (German). MR 43219, DOI 10.1007/BF02054949
- [1]
- A. L. S. Corner, Every countable reduced torsion-free ring is an endomorphism ring, Proc. London Math. Soc. (3) 13 (1963), 687-710. MR 0153743 (27:3704)
- [2]
- J. Dixmier, Quelques propriétés des groupes abéliens localement compacts, Bull. Sci. Math. 81 (1957), 38-48. MR 0097457 (20:3926)
- [3]
- M. Dugas and R. Göbel, Every cotorsion-free ring is an endomorphism ring, Proc. London Math. Soc. (3) 45 (1982), 319-336. MR 670040 (84b:20064)
- [4]
- A. Ehrenfeucht, On a problem of J. H. C. Whitehead concerning abelian groups, Bull. Acad. Polon. Sci. Cl. III 3 (1955), 127-128. MR 0069163 (16:994b)
- [5]
- S. Shelah, Infinite Abelian groups, Whitehead problem and some constructions, Israel J. Math. 18 (1974), 243-256. MR 0357114 (50:9582)
- [6]
- S. Shelah, A combinatorial theorem and endomorphism rings of abelian groups II, Abelian Groups and Modules, CISM Courses and Lectures, no. 287, Springer-Verlag, 1987, pp. 37-86. MR 789808 (86i:20075)
- [7]
- K. Stein, Analytische Funktionen mehrerer komplexer Veränderlichen zu vorgegebenen Periodizitätsmoduln und das zweite Cousinsche Problem, Math. Ann. 123 (1951), 201-222. MR 0043219 (13:224f)
Review Information:
Reviewer:
Laszlo Fuchs
Journal:
Bull. Amer. Math. Soc.
28 (1993), 141-144
DOI:
https://doi.org/10.1090/S0273-0979-1993-00333-1
