Some remarks on fully stable gamma modules

In this work we study full stability in the gamma module theory. A gamma module M is fully stable, if for each gamma submodule N of M, theta(N) subset of N for each gamma homomorphism theta of N into M. Several properties and characterizations of this classes of gamma modules have been studied. The advantages of these characterizations have been considered. Finding some sources of full stability and discuss the direct sum in fully stable gamma modules, by the way we show that in fully stable gamma modules, each gamma submodule has a unique complement. Finally characterize full stability by some of their generalizations and relate with the (SIP) and (SSP) properties.