Question: Let a and b be elements in a ring R such that ab = ba. Prove the following: 1. a + b is a

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. d 2. ab is a nilpotent if a or b is a nilpotent.

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