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2022-05-20

Let a and b belong to a ring R and let m be an integer. Prove that m(ab) = (ma)b = a(mb)

Answer & Explanation

star233

Skilled2022-06-09Added 403 answers

We compute

$m (a \times b) = a b + a b + . . . + a b (m t i m e s) = a (b + b + . . . + b) (m t i m e s) = a (m \times b)$

Analogously $m (a b) = (m a) b$

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