Def 1: A normal subgroup N of a group G is a subgroup such that: for all.
Def 2: Let N be normal subgroup of a group G, then G/N=is a group and is called a quotient group. Definition, G/N is a smaller group.
Def 3: Ideal I of a ring is a set such that:
· I is a subgroup under +;
Def 4: Maximal ideal M of a ring R is an ideal not equal to (0) and R such that:
If U is an ideal such that: U=M or U=R.
Let C[0,1] are set of continuous function on [0,1]. Classify all maximal ideal.
a) Prove that is a maximal ideal.
b) All maximal ideal should be of the form .