Rings of Order 4

The tool on this page allows you to study several examples of rings of order 4. After pressing the button below, you will be offered a choice of six different rings. After a ring is selected, you will see both its addition and multiplication tables.

Among these six rings, there are examples of isomorphic rings. To explore this idea, you may reconfigure the diagrams somewhat. For instance, when the Move button is pressed, you will be able to change the order in which elements are presented by clicking and dragging a particular element in the top or left side of a table. You may change the color of an element by pressing the Edit button and then clicking on the element (again, in either the top or left side of a table) you wish to change.