Small almost free modules with prescribed topological endomorphism rings
Rendiconti del Seminario Matematico della Università di Padova, Tome 109 (2003), pp. 217-234. 
@article{RSMUP_2003__109__217_0,
     author = {Corner, A. L. S. and G\"obel, R\"udiger},
     title = {Small almost free modules with prescribed topological endomorphism rings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {217--234},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {109},
     year = {2003},
     mrnumber = {1997988},
     zbl = {1148.20308},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_2003__109__217_0/}
}
TY  - JOUR
AU  - Corner, A. L. S.
AU  - Göbel, Rüdiger
TI  - Small almost free modules with prescribed topological endomorphism rings
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2003
SP  - 217
EP  - 234
VL  - 109
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_2003__109__217_0/
LA  - en
ID  - RSMUP_2003__109__217_0
ER  - 
%0 Journal Article
%A Corner, A. L. S.
%A Göbel, Rüdiger
%T Small almost free modules with prescribed topological endomorphism rings
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2003
%P 217-234
%V 109
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_2003__109__217_0/
%G en
%F RSMUP_2003__109__217_0
Corner, A. L. S.; Göbel, Rüdiger. Small almost free modules with prescribed topological endomorphism rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 109 (2003), pp. 217-234. http://archive.numdam.org/item/RSMUP_2003__109__217_0/

[1] R. Baer, Abelian groups without elements of finite order, Duke Math. J., 3 (1937), pp. 68-122. | JFM | MR

[2] A. Birtz, Sur des décompositions directes paradoxales de groupes abéliens sans torsion, Abelian Group Theory, Proceedings, Honolulu 1982/83, Lecture Notes in Mathematics 1006 (Springer, Berlin, 1983), pp. 358-361. | MR | Zbl

[3] A. L. S. Corner, Every countable reduced torsion-free ring is an endomorphisms ring, Proc. London Math. Soc., 13 (1963), pp. 687-710. | MR | Zbl

[4] A. L. S. Corner, Endomorphisms rings of torsion-free abelian groups, Proceedings of the International Conference on the Theory of Groups, Canberra 1965 (Gordon and Breach, New York, 1967), pp. 59-69. | Zbl

[5] A. L. S. Corner, Additive categories and a theorem of W. G. Leavitt, Bull. Amer. Math. Soc., 75 (1969), pp. 78-82. | MR | Zbl

[6] A. L. S. Corner, On the existence of very decomposable abelian groups, Abelian Group Theory, Proceedings, Honolulu 1982/83, Lecture Notes in Mathematics 1006 (Springer, Berlin, 1983), pp. 354-357. | MR

[7] A. L. S. Corner - R. Göbel, Prescribing endomorphism algebras, a unified treatment, Proc. London Math. Soc., 50 (1985), pp. 447-479. | MR | Zbl

[8] M. Dugas - R. Göbel, Every cotorsion-free ring is an endomorphism ring, Proc. London Math. Soc. (3), 45 (1982), pp. 319-336. | MR | Zbl

[9] M. Dugas - R. Göbel, Every cotorsion-free algebra is an endomorphism algebra, Math. Zeitschr., 181 (1982), pp. 451-470. | MR | Zbl

[10] P. C. Eklof, Set theoretic methods in homological algebra and abelian groups, Les Presses de l'Université de Montréal, Montreal 1980. | MR | Zbl

[11] K. Eda, Cardinal restrictions for preradicals, Abelian Group Theory, Contemporary Math. 87, Providence, 1989, pp. 277-283. | MR | Zbl

[12] P. Eklof - A. Mekler, Almost Free Modules, Set-theoretic Methods, NorthHolland, 1990. | MR | Zbl

[13] L. Fuchs, Abelian Groups, Vol. I and II, Academic Press, 1970 and 1973.

[14] R. Göbel, Some combinatorial principles for solving algebraic problems, Infinite length modules, Trends in Mathematics, Birkhäuser Verlag, Basel, 2000, pp. 107-127. | MR | Zbl

[15] R. Göbel - S. Shelah, Indecomposable almost free modules-the local case, Canadian J. Math., 50 (4) (1998), pp. 719-738. | MR | Zbl

[16] R. Göbel - S. Shelah, Endomorphism rings of modules whose cardinality is cofinal to v, Abelian groups, module theory, and topology, Marcel Dekker, New York, 1998, pp. 235-248. | MR | Zbl

[17] P GRIFFITH, ]n-free abelian groups, Quart. J. Math. (2), 23 (72), pp. 417-425. | MR | Zbl

[18] T. Jech, Set theory, Academic Press, New York, 1978. | MR | Zbl

[19] S. Shelah, On uncountable abelian groups, Israel J. Math., 32 (1979), pp. 311-330. | MR | Zbl

[20] S. Shelah, On endo-rigid strongly ]1-free abelian groups in ]1 , Israel J. Math., 40 (1981), pp. 291-295. | MR | Zbl

[21] S. Shelah, A combinatorial theorem and endomorphism rings of abelian groups II, Abelian Groups and Modules (R. Göbel, C. Metelli, A. Orsatti and L. Salce, eds.), CISM Courses and Lectures 287, Springer-Verlag, 1984, pp. 37-86. | MR | Zbl