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...
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
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id-itb.:155332017-09-27T14:41:42ZDEDEKIND PRIME RING AND PROGENERATOR MODULE KUSNIYANTI , ELVIRA Indonesia Theses Dedekind prime ring, Dedekind module, progenerator module, M-proge- nerator module. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/15533 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. text |
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Institut Teknologi Bandung |
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Institut Teknologi Bandung Library |
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Asia |
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Indonesia Indonesia |
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Institut Teknologi Bandung |
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Indonesia |
| description |
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. |
| format |
Theses |
| author |
KUSNIYANTI , ELVIRA |
| spellingShingle |
KUSNIYANTI , ELVIRA DEDEKIND PRIME RING AND PROGENERATOR MODULE |
| author_facet |
KUSNIYANTI , ELVIRA |
| author_sort |
KUSNIYANTI , ELVIRA |
| title |
DEDEKIND PRIME RING AND PROGENERATOR MODULE |
| title_short |
DEDEKIND PRIME RING AND PROGENERATOR MODULE |
| title_full |
DEDEKIND PRIME RING AND PROGENERATOR MODULE |
| title_fullStr |
DEDEKIND PRIME RING AND PROGENERATOR MODULE |
| title_full_unstemmed |
DEDEKIND PRIME RING AND PROGENERATOR MODULE |
| title_sort |
dedekind prime ring and progenerator module |
| url |
https://digilib.itb.ac.id/gdl/view/15533 |
| _version_ |
1820737488142991360 |