T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules
Coretrectable
t-essentially Coretrectable
weakly t-essentially Coretrectable .
A new generalizations of coretractable modules are introduced where a module is called t-essentially (weakly t-essentially) coretractable if for all proper submodule of , there exists f End( ), f( )=0 and Imf tes (Im f + tes ). Some basic properties are studied and many relationships between these classes and other related one are presented.
