Generalization of Slightly Compressible Modules

Samruam Baupradist, Phatsarapa Janmuang, Suphawat Asawasamrit


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.


compressible modules; M-sightly compressible modules; slightly compressible modules

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