- 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
SS-Injective Modules and Rings | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 9, Issue 2, 2017, Pages 57-70 PDF (0 K) | ||
| Authors | ||
| Adel Salim Tayyah; Akeel Ramadan Mehdi | ||
| Abstract | ||
| We introduce and investigate SS-injectivity as a generalization of both soc-injectivity and small injectivity. A right module M over a ring R is said to be SS-N-injective (where N is a right R-module) if every R-homomorphism from a semisimple small submodule of N into M extends to N. A module M is said to be SS-injective (resp. strongly SS-injective), if M is SS-R-injective (resp. SS-N-injective for every right R-module N). Some characterizations and properties of (strongly) SS-injective modules and rings are given. Some results on soc-injectivity are extended to SS-injectivity. | ||
| Keywords | ||
| Small Injective rings; Soc; Injective rings; Perfect rings; quasi; Frobenius rings | ||
|
Statistics Article View: 175 PDF Download: 119 |
||