Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
1.1 MATHEMATICS
Abstract
The endomorphism algebras of modules of large cardinalities have been extensively studied in recent years using the combinatorial set-theoretic techniques of Shelah-the so-called black-box methods (see, e.g., [4, 5, 151). Despite the spectacular success of these methods, they are not suitable for realization theorems at small carinalities. Of course at the level of countability (or rather more generally for cardinals ~2’~) there are in some cases the original dramatic results of A. L. S. Corner [ 1, 2, 31 and the more recent generalizations of Gobel and May [ 111. Very recently the study of realization problems at cardinalities
DOI
https://doi.org/10.1016/0021-8693(91)90128-U
Recommended Citation
Gobel, R. & Goldsmith, B. (1991). On Separable Torsion-Free Modules of Countable Density Character. Journal of Algebra, vol. 144, no. 1, pg. 79-87. doi:10.1016/0021-8693(91)90128-U
Publication Details
https://www.sciencedirect.com/science/article/pii/002186939190128U