- 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
Prime–Extending Module and S-Prime Module | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 14, Issue 4, 2011, Pages 166-170 | ||
| Author | ||
| Tamadher A. Ibrahiem | ||
| Abstract | ||
| In this paper, the notation of prime-extending module, is introduced and studied where an R-module M is Prime-extending if every nonzero proper submodule of M is essential in prime direct summand .Beside these, the notation of S-prime is given, where an R module is called S-prime if every proper direct summand is prime for this notation we proved: 1.Under the condition of S-prime module, M is Prime-extending if and only if M is extending .2. If M is semisimple module, then M is Prime-extending if and only if M is S-prime | ||
| Keywords | ||
| Extending module; Prime; Prime direct summand; prime submodule; uniform submodule | ||
|
Statistics Article View: 114 PDF Download: 63 |
||