Each of the six numbered regions in Fig. 19.10 corresponds to a certain type of a ring. Give an example of a ring in each of the six cells. For example, a ring in the region numbered 3 must be commutative (it is inside the commutative circle), have unity, but not be an integral domain.

Data from Figure 19.10

Transcribed Image Text:

Commutative rings 4 3 Integral Fields 1 Domains 2 5 Rings with unity 6