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...
Saved in:
Main Author: | |
---|---|
Format: | Theses |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/49707 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
id |
id-itb.:49707 |
---|---|
spelling |
id-itb.:497072020-09-18T11:22:57ZEXISTENCE OF PAUPER MODULES OVER RINGS WITH NO RIGHT MIDDLE CLASS AND NOETHERIAN RINGS Yumia, Mega Indonesia Theses poor module, pauper module. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/49707 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. text |
institution |
Institut Teknologi Bandung |
building |
Institut Teknologi Bandung Library |
continent |
Asia |
country |
Indonesia Indonesia |
content_provider |
Institut Teknologi Bandung |
collection |
Digital ITB |
language |
Indonesia |
description |
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. |
format |
Theses |
author |
Yumia, Mega |
spellingShingle |
Yumia, Mega EXISTENCE OF PAUPER MODULES OVER RINGS WITH NO RIGHT MIDDLE CLASS AND NOETHERIAN RINGS |
author_facet |
Yumia, Mega |
author_sort |
Yumia, Mega |
title |
EXISTENCE OF PAUPER MODULES OVER RINGS WITH NO RIGHT MIDDLE CLASS AND NOETHERIAN RINGS |
title_short |
EXISTENCE OF PAUPER MODULES OVER RINGS WITH NO RIGHT MIDDLE CLASS AND NOETHERIAN RINGS |
title_full |
EXISTENCE OF PAUPER MODULES OVER RINGS WITH NO RIGHT MIDDLE CLASS AND NOETHERIAN RINGS |
title_fullStr |
EXISTENCE OF PAUPER MODULES OVER RINGS WITH NO RIGHT MIDDLE CLASS AND NOETHERIAN RINGS |
title_full_unstemmed |
EXISTENCE OF PAUPER MODULES OVER RINGS WITH NO RIGHT MIDDLE CLASS AND NOETHERIAN RINGS |
title_sort |
existence of pauper modules over rings with no right middle class and noetherian rings |
url |
https://digilib.itb.ac.id/gdl/view/49707 |
_version_ |
1822000445124509696 |