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edited title

edited May 11 at 13:15

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Every abelian group can be embedded into a ring

Let $(G,+)$ be an abelian group. Does there always exist a ring with unity $(R,+,\cdot)$ and an injective homomorphism of groups $ \psi:G\rightarrow R$?

Is this hard to prove, or are there simple proofs?

ra.rings-and-algebras abelian-groups

asked May 11 at 12:59

Ândson josé