COMPLEMENTED CONDITION OF AN IDEAL-BASED ZERO-DIVISOR GRAPH
In this thesis, we will find the relation between multiplication module and von Neumann regular ring to a von Neumann regular module. We will also find complemented condition of ΓI(R) for I Annihilator of Multiplication module over von Neumann regular ring. However, there is a complemented...
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id-itb.:271642018-06-26T10:25:10ZCOMPLEMENTED CONDITION OF AN IDEAL-BASED ZERO-DIVISOR GRAPH (NIM: 20116006), FARHANI Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/27164 In this thesis, we will find the relation between multiplication module and von Neumann regular ring to a von Neumann regular module. We will also find complemented condition of ΓI(R) for I Annihilator of Multiplication module over von Neumann regular ring. However, there is a complemented condi- tion that also true for integer but integer is not von Neumann regular ring. Moreover, if we add some conditions, ΓAnn(M)(R) will become a star graph. 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 |
In this thesis, we will find the relation between multiplication module and von Neumann regular ring to a von Neumann regular module. We will also find complemented condition of ΓI(R) for I Annihilator of Multiplication module over von Neumann regular ring. However, there is a complemented condi- tion that also true for integer but integer is not von Neumann regular ring. Moreover, if we add some conditions, ΓAnn(M)(R) will become a star graph. |
| format |
Theses |
| author |
(NIM: 20116006), FARHANI |
| spellingShingle |
(NIM: 20116006), FARHANI COMPLEMENTED CONDITION OF AN IDEAL-BASED ZERO-DIVISOR GRAPH |
| author_facet |
(NIM: 20116006), FARHANI |
| author_sort |
(NIM: 20116006), FARHANI |
| title |
COMPLEMENTED CONDITION OF AN IDEAL-BASED ZERO-DIVISOR GRAPH |
| title_short |
COMPLEMENTED CONDITION OF AN IDEAL-BASED ZERO-DIVISOR GRAPH |
| title_full |
COMPLEMENTED CONDITION OF AN IDEAL-BASED ZERO-DIVISOR GRAPH |
| title_fullStr |
COMPLEMENTED CONDITION OF AN IDEAL-BASED ZERO-DIVISOR GRAPH |
| title_full_unstemmed |
COMPLEMENTED CONDITION OF AN IDEAL-BASED ZERO-DIVISOR GRAPH |
| title_sort |
complemented condition of an ideal-based zero-divisor graph |
| url |
https://digilib.itb.ac.id/gdl/view/27164 |
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1822922146277490688 |