An element e in a ring R is said to be idempotent if e 2 = e.

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An element e in a ring R is said to be idempotent if e2 = e. An element of the center of the ring R is said to be central. If e is a central idempotent in a ring R with identity, then

(a) 1R - e is a central idempotent;

(b) eR and (1R - e)R are ideals in R such that R = eR X (1R - e)R.

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