| notations of ring |
| difference between group and ring |
| null set form a smallest ring |
| commutative ring |
| ring theory |
| ring with unity |
| polynomial ring |
| division ring or skew field |
| cancellation law hold in Integral domain |
| integral domain hold in cancellation law |
| Field |
| A field is integral domain |
| Integral domain is not field |
| Ring homomorphism |
| counter example of ring homomorphism |
| ring isomorphism |
| example of ring isomorphism |
| Ideal definition, ideal contain a unit |
| ideal in R are <0> and itself |
| types of ideal, principal ideal, prime ideal |
| Examples and counter examples of ideal |
| Maximal ideal |
| lemma and theorem related to ideals |
| Quotient ring or factor ring |
| example of quotient ring and ideal |
| characteristic of a ring ,finite field |
| characteristic of field is zero or a prime number |
| relationship between commutative ring and field |
| R/M is field |
| M is maximal ideal |
| kernal f is ideal |
| 1st theorem of isomorphism |
| first theorem of isomorphism part 2 |
| 2nd theorem of isomorphism |
| 2nd theorem isomorphism part 2 |
| 2nd theorem of isomorphism part 3 |
| fundamental theorem of ring homomorphism |
| fundamental theorem of isomorphim part 2 |
| ring Z is trivial isomorphism with itself |
| Z is trivial isomorphism with itself part 2 |
| zero divisor |
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