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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