EXISTENCE OF PAUPER MODULES OVER RINGS WITH NO RIGHT MIDDLE CLASS AND NOETHERIAN RINGS
A module M is called poor module whenever it is N-injective, then the module N is semisimple. A poor module A is caled pauper module if it has no poor direct summands. Poor module always exist in R-MOD for all rings R. Meanwhile, existence of pauper modules in each kinds of rings or conditions is...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/49707 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | A module M is called poor module whenever it is N-injective, then the module N
is semisimple. A poor module A is caled pauper module if it has no poor direct summands.
Poor module always exist in R-MOD for all rings R. Meanwhile, existence
of pauper modules in each kinds of rings or conditions is still questionable. In this
book, we study about existence of pauper module over rings with no middle class
and Noetherian rings. Moreover, we study about pauper submodule of R-module
existence. |
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