  We introduce and investigate ss-injectivity as a generalization of both
soc-injectivity and small injectivity. A module M is said to be ss-N-injective
(where N is a 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 of Amin, Yuosif and Zeyada on
soc-injectivity are extended to ss-injectivity. Also, we provide some new
characterizations of universally mininjective rings, quasi-Frobenius rings,
Artinian rings and semisimple rings.
