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Prove integer and rational are not homomorphism?

Updated: 4/28/2022

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∙ 14y ago

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They are! Consider the identity map from Z to Q. They are not isomorphic, but there is a homomorphism between them.

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∙ 14y ago

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How is a rational number that is not an integer different from a rational number that is an integer?

A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.

Is pi over 12 a rational number?

No. To be a rational number it must be an integer over another integer. π is not an integer, nor can it be made into an integer by multiplying it by another integer, thus one twelfth of π is not a rational number.

What kind of number is -13 Rational irrational whole integer natural?

-13 is rational and an integer.

Is 11 an integer or rational number?

Yes and yes. It is an integer and so it is also a rational number.

Is 6.3 a rational and integer number?

6.3 is a rational number but it is not an integer because only whole numbers are integers.

Related questions

Is 0.25 a rational and integer?

It is rational and it is an integer.

Is 14.1 a rational number or a integer?

It is a rational number, not an integer.

How is a rational number that is not an integer different from a rational number that is an integer?

A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.

Is every integer a rational number or is every rational number an integer?

Every integer is a rational number.

Is 0.25 a integer or rational number?

It is not an integer but is a rational number.

Is 100.02 a rational number or a integer?

Integers are rational. So is this, but it's not an integer.

How is a rational number that is not an integer different from a rational number that is an number?

A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.

Is -8.4 an integer or rational number?

A rational number.

Is 3.4 a rational integer or whole?

3.4 is rational.

Is 7 and 1 fifth and rational number or a integer?

It is rational but not an integer.

Is -10 an integer and rational?

Yes -10 is an integer and a rational number

Is zero a rational number but not an integer?

Zero is a rational number and an integer.

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