Any ring R can be embedded in a ring S with unity that has the same characteristic as R. (embedded: $\exists \phi: R \to S$ one to one homomorphism)
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The characteristic of a ring R is the smallest positive integer n such that n * 1 = 0, where 1 is the multiplicative identity of the ring. Now, let's consider a ring R. If R is a non-zero ring, then it must have a multiplicative identity 1. In this case, the Show more…
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