The direct product can be abstracted to an arbitrary category.

Moreover can be written as the direct product of .

It is possible to take the direct product of more than two groups at once.

It is also possible to take the direct product of an infinite number of groups.

Principal right ideal rings are closed under finite direct products.

It is a generalization of the direct and semidirect products.

One may also consider the following elements in the countable direct product of "A"

The product in Ring is given by the direct product of rings.

We consider these structures to be the direct product of democratically elected bodies.

Contrast with the direct product, which is the dual notion.