T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules
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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.
Received 24/2/2019, Accepted 25/4/2020, Published Online First 6/12/2020
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