R = { ± 1, ± 2, ± 3, - - - } is not a ring under usual addition and multiplication of integers
because _______
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In a ring, a multiple for addition is written as na to stand for (a+a+...+a).
This is not necessarily the same as n∗a (the "multiplication" operation). Is that correct?
Multiple is only the same as multiplication for specific rings such as Integers. Is that right?
I suspect the answer to be the case but I have never seen a proof one way or the other.
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