(c) Show that the intersection of any number of a-fields is a g-field. Redefine (A) using this fact.

Consider the set S={[0],[2],[4],[6],[8],[10],[12],[14],[16]}18, with addition and multiplication as defined in 18. a. Is S an integral domain? If not, give a reason. b. Is S a field? If not, give a reason. [Type here][Type here]

Is Q [x]/⟨x2 -5x + 6⟩ a field? Why?

Demonstrate or explain why the system (P(R#), +, *) is NOT a field, that is, demonstrate or explain why some elements in set P(R#) do not have inverses corresponding to the * operation.