If f be a homomorphismof a Ring R into a ring R' with kernel S then S is an ideal of R //Ring theory

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If f be a Homomorphism of a ring R to a ring R' then prove that the kernal of f is an ideal of R

Any Ideal A in R is the Kernel of the Natural Projection Ring Homomorphism onto the Factor Ring R/A

Theorem - Kernel of Ring Homomorphism is an Ideal of R | Kernel of Ring Homomorphism | RING THEORY.

M is a maximal ideal of a ring R if and only if R/M is a field. Lecture 12.

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If f be a homo. of a Ring R into R' & S' be homomorphic image of R into R' then S' be subring of R'

R to R' is Ring Homomorphism then kernel is Singleton '0' iff phi is 1-1

If f:R to R' is Ring Homomorphism then f(0)=0' and f(-a)=-f(a) || RING THEORY #17||