SS-Injective Modules and Rings
Journal of Al-Qadisiyah for Computer Science and Mathematics,
2017, Volume 9, Issue 2, Pages 57-70
AbstractWe 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.
- Article View: 117
- PDF Download: 36