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Get Full Access to Contemporary Abstract Algebra - 8 Edition - Chapter 12 - Problem 36e
Get Full Access to Contemporary Abstract Algebra - 8 Edition - Chapter 12 - Problem 36e

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# Let m and n be positive integers and let k be the least ISBN: 9781133599708 52

## Solution for problem 36E Chapter 12

Contemporary Abstract Algebra | 8th Edition

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Problem 36E

Problem 36E

Let m and n be positive integers and let k be the least common multiple of m and n. Show that mZ nZ = kZ.

Step-by-Step Solution:

36. Let m and n be positive integers and let k be the least common multiple of m and n. Show that .

Step By Step Solution

Step 1 of 2

Given k is the least common multiple of m and n.

Also we know any set of the form is ideal, so and are ideals.

( the set of integers. If is any integer, we write for the set .)

Step 2 of 2

##### ISBN: 9781133599708

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