1. Since the Cartesian product \(\mathbb{R} ^2\) corresponds to the Cartesian plane, the Cartesian product of two subsets of \(\mathbb{R}\) corresponds to a subset of the Cartesian plane

2. Cartesian Product is the multiplication of two sets to form the set of all ordered pairs

3. The Cartesian JOIN or CROSS JOIN returns the Cartesian product of the sets of records from two or more joined tables

4. There are other cases that reflect that A may not be a simple abelian variety (it might be a cartesian product of elliptic curves, for example).