- 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
Modules Whose Direct Summands Are Stable | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 21, Issue 5, 2010, Pages 411-420 | ||
| Author | ||
| Mehdi Sadik Abbas | ||
| Abstract | ||
| In this paper, we introduce and study SS-module as a proper generalization of fully stable modules. A module M is called SS-module if every direct summand of M is stable. Many characterizations and properties of SS-modules are given. For example, an R-module M is SS-module if and only if each direct summand of M fully invariant. Various known results about fully stable modules are generalized to SS-modules. For example, If M is regular SS-module, then EndR(M) is fully stable. Known modules related to SS-modules are considered. In fact, we investigate the next implications: Multiplication modules SS-modules The summand intersection property. Moreover, through examples, it can be asserted that these implications are not reversible. | ||
|
Statistics Article View: 141 PDF Download: 92 |
||