Proof that: (a) If a and n are integers, n > 0, then there exist integers q

Question:

Proof that:

(a) If a and n are integers, n > 0, then there exist integers q and r such that a = qn + r, where |r| ≤ n/2.

(b) The Gaussian integers Z[i] form a Euclidean domain with φ(a+bi) = a2+b2

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: