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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Main Author: Yumia, Mega
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/49707
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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