DEDEKIND PRIME RING AND PROGENERATOR MODULE
This thesis deals with a characterization of Dedekind prime ring which is related to progenerator module. It is shown that a Noetherian prime ring is a Dedekind prime ring if and only if every submodule of its progenerator module is also progenerator. In this project we also develop a further resear...
Saved in:
| Main Author: | |
|---|---|
| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/15533 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | This thesis deals with a characterization of Dedekind prime ring which is related to progenerator module. It is shown that a Noetherian prime ring is a Dedekind prime ring if and only if every submodule of its progenerator module is also progenerator. In this project we also develop a further research plan as a generalization of the characterization under consideration in module theory. In particular, we discuss a possibility how Dedekind module and M-progenerator are interconnected. |
|---|