Generalization of Slightly Compressible Modules
DOI:
https://doi.org/10.5614/j.math.fund.sci.2018.50.2.3Keywords:
compressible modules, M-sightly compressible modules, slightly compressible modulesAbstract
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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