# Suppose R is a ring with a least two elements. Suppose that for any r not equal...continues

###### Question:

Suppose R is a ring with a least two elements. Suppose that for any r not equal to 0r, there is a unique s in R such that rsr = r. Prove each of the following:(a) R has no zero divisors(b) srs=s(c) R has a unity element

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