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

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

http://my.justanswer.com/question/guest/4e34190847a5414391c92e234416d462I believe it is the same ...

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

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

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