T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules

Abstract

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.

Keywords

• Coretrectable ; t-essentially Coretrectable ; weakly t-essentially Coretrectable .