====== Ring (Notes) by Prof. M. Dabeer Mughal ======
{{ :notes:ring-notes-prof-m-dabeer-mughal.jpg?nolink|Ring (Notes) by Prof. M. Dabeer Mughal}}
A handwritten notes on Ring (Algebra) by Prof. M. Dabeer Mughal (Federal Directorate of Education, Islamabad, Pakistan). It is best to prepare a “Rings and Vector Spaces” section of your algebra paper or Algebra II for BS or MS Mathematics.

^ Name  |Ring (Notes) - Handwritten  |
^ Author  |Prof. M. Dabeer Mughal  |
^ Pages  |64 pages  |
^ Format  |PDF & DJVU (see [[::software]] section for viewers)  | 
^ Size  |PDF: 4.90MB 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

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====Notes by Other Authors====
{{topic>algebra&nouser&simplelist}}

{{tag>BS MSc Notes Algebra Rings Prof_M_Dabeer_Mughal}}