Generalization of Slightly Compressible Modules

Samruam Baupradist, Phatsarapa Janmuang, Suphawat Asawasamrit
2018 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.
doi:10.5614/j.math.fund.sci.2018.50.2.3 fatcat:g56dldhtvjc4tgsgsjr57pfmla