Can there be an onto homomorphism from a ring without unity to a ring with unity? – math.stackexchange.com

Can there be an onto homomorphism from a ring without unity to a ring with unity? – math.stackexchange.com

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Let $R$ be a ring without a unit element and $R'$ be a (non trivial) ring with a unit element. Can there be an onto homomorphism from $R$ to $R'$? Some observations: There cannot be an isomorphism, ...

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