| Автор | Göbel, Rüdiger |
| Автор | Paras, Agnes T. |
| Дата выпуска | 2002 |
| dc.description | If R is a complete discrete valuation ring and M is a reduced, torsion-free R-module of rank \kappa, where \aleph_0 \leq \kappa < 2^ (\aleph_0), we show that M \prop\oplus_(\aleph_0) R \oplus C for some R-module C. As a consequence, it must be the case that M \prop M \oplus (\oplus{_\alpha}R), where \alpha \leq \aleph_0, and {\rm (End)_R}M/\rm (Fin)M has rank at least 2^ (\aleph_0), where Fin M denotes the set of endomorphisms of M with finite rank image. |
| Издатель | Cambridge University Press |
| Название | Splitting off free summands of torsion-free modules over complete DVRs This work is supported by Project No. G-545-173.06/97 of the German-Israeli Foundation for Scientific Research & Development. |
| DOI | 10.1017/S0017089502020177 |
| Electronic ISSN | 1469-509X |
| Print ISSN | 0017-0895 |
| Журнал | Glasgow Mathematical Journal |
| Том | 44 |
| Первая страница | 349 |
| Последняя страница | 351 |
| Аффилиация | Göbel Rüdiger; Universität Essen |
| Аффилиация | Paras Agnes T.; University of the Philippines |
| Выпуск | 2 |
