Rings (Handwritten notes)

CONTENTS OR SUMMARY:

• Rings; denition and examples
• Commutative ring, ring with unity, boolean's ring, division ring
• Zero divisor and examples, integral domain and related theorems
• Field, examples and related theorems
• Characteristic of ring, examples and related theorems
• Regular ring, examples and related theorems
• Ideals, and related theorem
• Quotient ring
• Homomorphism of a ring, kernel of homomorphism and related theorems
• Principal ideal, principal ideal ring
• Maximal ideal and related theorem
• Fundamental homomorphism theorem