Question: 4. Let X be a non-empty subset of a ring R. Let A={aER|xa=0forall$EX}. Prove that A is a right ideal of R. 5. Let R

4. Let X be a non-empty subset of a ring R. Let A={aER|xa=0forall$EX}. Prove that A is a right ideal of R. 5. Let R be a ring not necessarily possessing an identity. Let a E R. Prove that {no + are | n 6 Z, a: E R} is a left ideal of R containing a

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