T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules

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Inaam Ali Shaham
Shukur Al-Aeashi
Farhan Shyaa

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.

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Shaham IA, Al-Aeashi S, Shyaa F. T-Essentially Coretractable and Weakly T-Essentially Coretractable Modules. Baghdad Sci.J [Internet]. [cited 2021Jan.20];18(1):0156. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3019
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