Duo Gamma Modules and Full Stability
Abstract
In this work we study gamma modules which are implying full stability or implying by full stability. A gamma module M is fully stable if θ(N)⊆N for each gamma submodule N of M and each R_Г- homomorphism θ of N into M. Many properties and characterizations of these classes of gamma modules are considered. We extend some results from the module to the gamma module theories.
Keywords
Gamma modules, fully stable gamma modules, duo gamma modules, uniserial gamma module, Γ-Hopfian and Γ-coHopfian gamma modules.Metrics