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Mathematics, 04.02.2021 04:40 Tuffers

Let (R,+,·) be a ring and e, f ∈ R two idempotent elements such that e f = f e = 0. Show that the elements 1-e, 1-f and e+f are also idempotent. Determine the idempotent elements of the ring Z20

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Let (R,+,·) be a ring and e, f ∈ R two idempotent elements such that e f = f e = 0. Show that the el...
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