Generalization of Slightly Compressible Modules

@article{Baupradist2018GeneralizationOS,
  title={Generalization of Slightly Compressible Modules},
  author={Samruam Baupradist and Phatsarapa Janmuang and Suphawat Asawasamrit},
  journal={Journal of Mathematical and Fundamental Sciences},
  year={2018}
}
In this paper, we give a generalization of slightly compressible modules. We introduce the notion of M -slightly compressible modules, i.e. a right R module N is called M - slightly compressible if for every nonzero submodule A of N there exists a nonzero R -homomorphism s from M to N such that . Many examples of M -slightly compressible modules are provided. Some results on M -slightly compressible modules are obtained, which are interesting and important. 
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On Slightly Compressible-Injective Modules
In this paper, we introduce the concept of slightly compressible-injective modules, following this, a right R-module N is called an M-slightly compressible-injective module, if every R-homomorphism…

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