Question

The intersection of any two ideals of a ring R

Answer 1

Answer:

Since A and B are both Ideals of a ring R, A and B are both Subrings of a ring R. ... In particular, we have that (A,+),(A∖{0},⋅),(B,+),(B∖{0},⋅) are Abelian.

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Answer 2

Step-by-step explanation:

Prove that the intersection of any set of Ideals of a ring is an Ideal.

Since A and B are both Ideals of a ring R, A and B are both Subrings of a ring R. In particular, we have that (A,+),(A∖{0},⋅),(B,+),(B∖{0},⋅) are Abelian.