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If (R, +,° )is a ring then for all a ∈ R a ° 0 =...

If (R, +,° )is a ring then for all a ∈ R
a ° 0 = 0 ° a = 0
Thus if (R, ° ) has an identity, say 1, and |R| ≧ 2 then 1≠ 0
Prove these contentions.

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