Abstract
Let R be any ring and let M be any right R-module. M is called hollow-lifting if every submodule N of M such that M/N is hollow has a coessential submodule that is a direct summand of M. We prove that every amply supplemented hollow-lifting module with finite hollow dimension is lifting. It is also shown that a direct sum of two relatively projective hollow-lifting modules is hollow-lifting.
| Original language | English |
|---|---|
| Pages (from-to) | 545-568 |
| Number of pages | 24 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 11 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jun 2007 |
Keywords
- Hollow-lifting module
- h-small projective module
Fingerprint
Dive into the research topics of 'On hollow-lifting modules'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver