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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem

Let a and b be integers such that a | b and | b | < | a | . Prove that b = 0 .

To determine

To prove: If a|b and |b|<|a| then b=0.

Explanation

Given information:

a and b be integers such that a|b and |b|<|a|.

Formula used:

1) Divisor:

Let a,b be any integers, a is divisor of b, write as a|b, if there is an integer c such that b=ac.

2) If a and b are integers such that b0 and a|b, then |a||b|

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