Generalization of Slightly Compressible Modules
| Main Authors: | Baupradist, Samruam; Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Janmuang, Phatsarapa; Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Asawasamrit, Suphawat; Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800 |
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| Other Authors: | Center of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400, Thailand |
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
ITB Journal Publisher, LPPM ITB
, 2018
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| Subjects: | |
| Online Access: |
http://journals.itb.ac.id/index.php/jmfs/article/view/3646 http://journals.itb.ac.id/index.php/jmfs/article/view/3646/3113 |
Daftar Isi:
- 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.