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

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

Moreover can be written as the direct product of .

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

The direct product can be abstracted to an arbitrary category.

Principal right ideal rings are closed under finite direct products.

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

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

In particular, a finite chief factor is a direct product of isomorphic simple groups.

The graph is connected unless the group has a direct product decomposition.

Contingency management programs are a direct product of research from operant conditioning.

Let us split into the direct product , where .

This policing function is less likely to be present in the case of a monopolist, which does not face direct product market pressure.

The socle is a direct product of minimal normal subgroups.

In mathematics, one can often define a direct product of objects already known, giving a new one.

S is the direct product of a torus and an elementary abelian 2-group.

This means that we can form finite direct sums and direct products.

K is a pseudoelementary class closed under subalgebras and direct products.

The adele ring is therefore a restricted direct product.

Although inspired by urban models, some franchises were direct products of princely legislation.

One extension, the direct product, is immediately obvious.

Rules for obtaining the symmetries of a direct product can be found in texts on character tables.

For this reason the investigation procedure looks for direct products of ethanol metabolism.

The subgroups of direct products are described by Goursat's lemma.

G is the direct product of its Sylow subgroups.