(Solved): Use the properties that are preserved by ring isomorphism to show that the first ring is not isomorp ...

Use the properties that are preserved by ring isomorphism to show that the first ring is not isomorphic to the second. (a) E (the set of even integers) and Z. (b) R × R × R × R and M2(R). (c) Z4 × Z14 and Z16. (d) Q and R. (e) Z × Z2 and Z. (f) Z4 × Z4 and Z16.