Question

If fir be a homomorphism function then the kernel of this homomorphism is :
(a) A subring of R
(b) A subring of R
(d) An ideal of R!
(c) An ideal of R​

Answer 1

Answer:

Good evening guys and thanks for come in brainy in

Answer 2

Note :

Ring : A non empty set R equipped with two binary operations called addition and multiplication denoted by ( + ) and ( • ) is said to be a ring if the following properties holds :

1. (R,+) is an abelian group .
2. (R,•) is a semi-group .
3. (R,+,•) holds distribute law .

• a•(b + c) = a•b + a•c
• (b + c)•a = b•a + c•a

Ideal : A non empty subset U of ring R is said to be an ideal (two sided ideal) of R if :

• a , b ∈ U → a - b ∈ U and
• a ∈ U , r ∈ R → ar ∈ U and ra ∈ U

Answer :

An ideal of R .

Explanation :

Please refer to the attachments .