Chapter 5.3, Problem 56PS

To determine

a)

To state:

The associative property.

To determine

b)

To check:

Whether $\mathbb{Z}$ is associative under addition or not.

To determine

c)

To check:

Whether $\mathbb{Z}$ is associative under subtraction or not.

To determine

d)

To check:

Whether $\mathbb{Z}$ is associative under multiplication or not.

To determine

e)

To check:

Whether $\mathbb{Z}$ is associative under division or not.