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Miklos Schweitzer 1973_2

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November 12, 2008
Ring Theorysuperior algebrasuperior algebra unsolved

Problem Statement

Let R R be an Artinian ring with unity. Suppose that every idempotent element of R R commutes with every element of R R whose square is 0 0. Suppose R R is the sum of the ideals A A and B B. Prove that AB\equal{}BA. A. Kertesz
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