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  3. let a and b be elements in a ring r such that ab =

Let a and b be elements in a ring R such that ab = ba.Prove...

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Algebra

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Let a and b be elements in a ring R such that ab = ba.Prove the following:1. a + b is a nilpotent if a and b are nilpotents.2. ab is a nilpotent if a or b is a nilpotent.

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