Consider the set Z together with the binary operations ⊕ and ⊙ given in Example 14.3. (a) Verify the associative laws for ⊕ and ⊙ and the distributive laws in order to complete the work started in part (a) of Example 14.3. [This now establishes that (Z, ⊕, ⊙) is a ring.] (b) Is this ring commutative? (c) In part (b) of Example 14.3 we showed that 0 is the unity for (Z, ⊕, ⊙). What are the units for this ring? (d) Is this ring an integral domain? a field?