- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
On Purely У–Extending Modules | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 54, Issue 3, 2013, Pages 672-675 | ||
| Author | ||
| B. H. Al-Bahrani | ||
| Abstract | ||
| In this note we consider a generalization of the notion of a purely extending modules, defined using y– closed submodules. We show that a ring R is purely y – extending if and only if every cyclic nonsingular R – module is flat. In particular every nonsingular purely y extending ring is principal flat. | ||
| Keywords | ||
| Pure submodule; closed submodule; Extending modules | ||
|
Statistics Article View: 103 PDF Download: 91 |
||