Decide whether the indicated operations of addition and multiplication are defined (closed) on the set, and give

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Decide whether the indicated operations of addition and multiplication are defined (closed) on the set, and give a ring structure. If a ring is not formed, tell why this is the case. If a ring is formed, state whether the ring is commutative, whether it has unity, and whether it is a field.

nZ with the usual addition and multiplication

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