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Consider the set nz where n is a positive integerunder the usual addition and multiplication. Answer the following questions: (a) Are the two binary operations defined (closed) in the set? (b) Does the usual addition and multiplication give a ring structure? (c) If your answer to (b) is yes, tell why this is the case. (d) If your answer to (b) is yes, state whether the ring is commutative, and whether it has unity. (e) If your answer to (b) is yes, state whether it is a field.
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Consider the set nz where n is a positive integerunder the usual addition and multiplication. Answer the following questions: (a) Are the two binary operations defined (closed) in the set? (b) Does the usual addition and multiplication give a ring structure? (c) If your answer to (b) is yes, tell why this is the case. (d) If your answer to (b) is yes, state whether the ring is commutative, and whether it has unity. (e) If your answer to (b) is yes, state whether it is a field.
