Question: Let R1, R2. .... R; be a commutative ring with unity 1 and Pm(R.) = {re Rx : pm = x} be a set of

Let R1, R2. .... R; be a commutative ring with unity

Let R1, R2. .... R; be a commutative ring with unity 1 and Pm(R.) = {re Rx : pm = x} be a set of all m-potent elements in R, where k = 1, 2,3. ..., j. If R = R] X R2 x . . . x R;, then Pm(R) = Pm(R1) X Pm(R2) x . . . x P(R;)

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