For the ring Z[√d] = {a + b√d | a, b ∈Z}, where d ≠ 1 and d isnot divisible by the square of a prime, prove that the norm N(a +b√d) = |a2 - db2| satisfies the four assertions .

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A: An ideal I in Zn  is maximal if and only if I=⟨p⟩ where p is a prime dividing n.

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Q: Q2: Prove that the intersection of any two ideals of a ring R is also an ideal.

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Q: The ring Zpg?, has exactly-------------maximal ideals O 2

A: 3

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Given  I1 and I2  are two ideals of the ring R To prove : I1∩I2 is an ideal of R.