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- Thread starter Mr Davis 97
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fresh_42

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mathman

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fresh_42

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##a \cdot a \cdot a## isn't defined without associativity. And what if ##a \cdot b \neq b \cdot a## with ##b=a^2\,##? Of course this doesn't happen in a group, because of associativity. But it cannot be ruled out for an algebra.

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Okay. Well given that I understand that the associative law will have to be used, how do I in general go about doing an induction when there are two variables m and n instead of just n?allowthis abbreviation in the first place.

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