Generalization of Slightly Compressible Modules

  title={Generalization of Slightly Compressible Modules},
  author={Samruam Baupradist and Phatsarapa Janmuang and Suphawat Asawasamrit},
  journal={Journal of Mathematical and Fundamental Sciences},
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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