Let d be an integer less than -1 that is not divisible by the square ofa prime. Prove that the only units of Z[√ d] are +1 and -1.
Let d be an integer less than -1 that is not divisible by the square ofa prime. Prove that the only units of Z[√ d] are +1 and -1.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 23E: Let a and b be integers such that ab and ba. Prove that b=0.
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Let d be an integer less than -1 that is not divisible by the square of
a prime. Prove that the only units of Z[√ d] are +1 and -1.
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