Generalization of Slightly Compressible Modules

Samruam Baupradist (Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330)
Phatsarapa Janmuang (Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330)
Suphawat Asawasamrit (Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800)

Journal of Mathematical and Fundamental Sciences
Vol. 50 No. 2 (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.