Ring (Notes) by Prof. M. Dabeer Mughal

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
  • 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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