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Strongly Coretractable Modules And Some Related Concepts

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Let R be a ring with identity and M be an R-module with unite . The module M is called strongly coretractable module if for each proper submodule N of M , there exists a nonzero R-homomorphism f:M/N→M  such that Imf+N=M . In this paper we investigate some relationships between strongly coretractable module and other related concepts .
Title: Strongly Coretractable Modules And Some Related Concepts
Description:
Let R be a ring with identity and M be an R-module with unite .
The module M is called strongly coretractable module if for each proper submodule N of M , there exists a nonzero R-homomorphism f:M/N→M  such that Imf+N=M .
In this paper we investigate some relationships between strongly coretractable module and other related concepts .

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