| Extending Property for Essentially Countably Generated Submodules |
| |
| Key Words:
extending module ecg-extending module ecg-quasi-continuous module.
|
| Fund Project:the National Natural Science Foundation of China (10171082) and the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, P.R.C. |
|
| Hits: 2349 |
| Download times: 1357 |
| Abstract: |
| We say a left R-module M is ecg-extending if every essentially countably generated submodule of M is essential in a direct summand of M. After giving some basic properties of ecg-extending modules, we show that for a nonsingular ring R, all left R-modules |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2005.04.008 |
| View Full Text View/Add Comment |
