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 |