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msc:notes:ring_notes [2021/02/07 16:49] – created - external edit 127.0.0.1msc:notes:ring_notes [2023/04/01 06:49] (current) – removed Dr. Atiq ur Rehman
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-====== Ring (Notes) by Prof. M. Dabeer Mughal ====== 
-A handwritten notes of Ring (Algebra) by Prof. M. Dabeer Mughal (Federal Directorate of Education, Islamabad, PAKISTAN). Best to prepare a "Rings & Vector Spaces" section of Algebra paper in MSc (Mathematics). 
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-^ Name  |Ring (Notes) - Handwritten  | 
-^ Author  |Prof. M. Dabeer Mughal  | 
-^ Pages  |64 pages  | 
-^ Format  |PDF & DjVu (see [[::software]] section for DjVu Reader  
-^ Size  |PDF: 4.91MB, DjVu: 3.8MB  | 
- 
-==== CONTENTS OR SUMMARY:==== 
- 
-  *  Rings, commutative ring, ring with unity (identity), examples 
-  *  Consequences from the definition 
-  *  Unit element of ring 
-  *  Division ring or skew field, field, zero divisor 
-  *  Integral domain 
-  *  Characteristic of ring, Boolean ring  
-  *  Sub-ring and related theorem 
-  *  Centre of ring and related theorem 
-  *  Ring homomorphism 
-  *  Isomorphism, kernel of $\phi$ and related theorems 
-  *  Ideal, left ideal 
-  *  Right ideal, two sided ideal, examples and theorems 
-  *  Principal ideal, principal ideal ring and related theorem 
-  *  Quotient ring and related theorem 
-  *  Ist fundamental theorem 
-  *  Maximal ideal and related theorem 
-  *  Prime ideal and related theorem 
-  *  The field of quotients of an integral domain 
-  *  Prime field 
- 
-==== DOWNLOAD LINKS ==== 
-  * **PDF File: Ring_Notes_Prof_M_Dabeer_Mughal.pdf ~ 4.91 MB** 
-    * DWN **[[pdf>files/msc/algebra/dn.php?file=Ring_Notes_Prof_M_Dabeer_Mughal.pdf|Link 1: Direct Link]]** 
-    * DWN **[[http://www.mediafire.com/view/a42nbbi3ez3u61f/Ring_Notes_Prof_M_Dabeer_Mughal_www.mathcity.org.pdf|Link 2: mediafire.com]]** 
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-  * **DjVu File: Ring_Notes_Prof_M_Dabeer_Mughal.djvu ~ 3.8 MB** 
-    * DWN **[[mathcity>files/msc/algebra/dn.php?file=Ring_Notes_Prof_M_Dabeer_Mughal.djvu|Link 1: Direct Link]]** 
-    * DWN **[[http://www.mediafire.com/download/uwmw828so930sox/Ring_Notes_Prof_M_Dabeer_Mughal.djvu|Link 2: mediafire.com]]** 
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-  * **To view online at Scribd %%[%%[[http://www.scribd.com/doc/37463551|Click Here]]%%]%%** 
-  * **To view online %%[%%[[mscnotes>algebra%2FRing_Notes_Prof_M_Dabeer_Mughal|Click Here]]%%]%%** 
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-====Notes of other subjects==== 
-{{topic>msc_notes&simplelist}} 
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-{{tag>MSc MSc_Notes}}