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
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ANSWER a The statement is known as the Division Algorithm for integers It states that given any inte...View the full answer
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Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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