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Chapter 7: Q52E (page 375)

For Exercises 51 through 55, state whether the given set is a field (with the customary addition and multiplication).

52. The integers Z

Short Answer

Expert verified

No, Z is not a field

Step by step solution

01

Define integer

Integers are the collection of whole numbers and negative numbers

02

Verify integer is field

No

For example, the number 2鈭�Zdoes not have a multiplication inverse in Z, so Z is not a field.

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