MathDB
Ring - [Iran Second Round 1985]

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December 29, 2010
superior algebrasuperior algebra unsolved

Problem Statement

In The ring R\mathbf R, we have ∀x∈R:x2=x\forall x \in \mathbf R : x^2=x. Prove that in this ring
i) Every element is equals to its additive inverse.
ii) This ring has commutative property.
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