Abstract
This paper was originally part of [Sh 8] . It was separated for technical reasons and partly extendend, particularly in §§ 5,6. However we do not require knowledge of the first part.
The author would like to thank the United Statesn Israel Binational Science Foundation for partially supporting this research.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A.L.S. Corner and R. Göbel, Prescribing endomorphism algebras — a uniform treatment, Proc. London Math, Soc. (to appear).
A.L.S. Corner, Every countable reduced torsion free ring is an endomorphism ring, Proc. London Math. Soc. (3) 13 (1963), 687–710.
K. Devlin and S. Shelah, A weak form of the diamond which follows from 2N°<2N 1. Israel J. Math. 29 (1978), 239–247.
M. Dugas and R. Göbel, Every cotorsion free ring is an endomorphism ring, Proc. London Math. Soc. (3) 45 (1982), 319–336.
M. Dugas and R. Göbel, On endomorphism rings of primary abelian groups, Math. Ann. 261 (1982), 359–385.
M. Dugas and R. Göbel, Every cotorsion free algebra is an endomorphism algebra, Math. Z. 181 (1982), 451–470.
L. Fuchs, Infinite abelian groups, Academic Press, New York, vol.1 1970, vol.11 1973.
P.C. Eklof and A.M. Mekler, On constructing indecomposable groups in L, J. Algebra 49 (1977), 96–103.
R. Göbel and S. Shelah, Semi-rigid classes of torsion-free abelian groups, J. Algebra (to appear).
R. Göbel and S. Shelah, Modules over arbitrary domains I, Math. Z. (to appear).
R. Göbel and S. Shelah, Modules over arbitrary domains II, submitted to Fund. Math.
P.S. Pierce, Homomorphisms of primary abelian group, pp. 214–310 in: Topics in abelian groups, Chicago, Scott and Foresman 1963, ed. J.M. Irwin and E.A. Walker.
M. Rubin and S. Shelah, Combinatorial problems on trees, partitions, A -systems and large free subsets, Annals of Pure and Applied Logic.
S. Shelah, Classification Theory, North Holland Publ. Co Amsterdam, 1978.
S. Shelah, Why there are many non-isomorphic models for unsuperstable theories, Proc. of the International Congress of Math. Vancouver (1974), 553–557.
S. Shelah, Infinite abelian groups, Whitehead problem and some constructions, Israel J. Math. 18 (1974), 243–256.
S. Shelah, Existence of rigid like families of abelian p-groups, Model Theory and Algebra, ed. D. H. Saraceno and V. B. Weisfening, Lecture Notes in Math. Springer Verlag Vol. 498, Berlin 1975, 384–402.
S. Shelah—, The lazy model theorist guide to stability, Logique et Analyse 71–72 (1975), 241–308.
S. Shelah, On endo-rigid strongly N1-free abelian groups in, Israel J. Math. 40 (1981), 291–295.
S. Shelah, Construction of many complicated uncountable structures and Boolean algebras, Israel J. Math. 45 (1983), 100–146.
S. Shelah, A combinatorial principle and endomorphism rings of p-groups, Proceedings of the 1980/1 Jerusalem Model Theory Year, Israel J. Math (to appear).
S. Shelah, On powers of singular cardinals, Notre Dame J. of Formal Logic.
S. Shelah, Existence of endo-rigid Boolean algebras, (to appear in a Springer Lecture Notes’ volume).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer-Verlag Wien
About this paper
Cite this paper
Shelah, S. (1984). A Combinatorial Theorem and Endomorphism Rings of Abelian Groups II. In: Göbel, R., Metelli, C., Orsatti, A., Salce, L. (eds) Abelian Groups and Modules. International Centre for Mechanical Sciences, vol 287. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2814-5_3
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2814-5_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81847-3
Online ISBN: 978-3-7091-2814-5
eBook Packages: Springer Book Archive