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Use the definition for a...

Use the definition for a ring to prove that Z7 is a ring under the operations + and × defined as follows:

[a]7 +**7 = [a + b]7 and [a]7 × ****7 = [a × b]7**

and Use the definition for an integral domain to prove that Z7 is an integral domain.

[a]7 +

and Use the definition for an integral domain to prove that Z7 is an integral domain.

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