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