commutative

In other words, a group's operation does not have to be commutative.

The center of a division ring is commutative and therefore a field.

We aim to show that the addition of natural numbers is commutative.

In this article, a ring is commutative and has unity.

The addition operator is also commutative - the order of a and b does not matter.

Similarly, union is commutative, so the sets can be written in any order.

This is significant since the arrow operators are not commutative.

A commutative ring where the set with multiplication is a group.

In contrast, the commutative property states that the order of the terms does not affect the final result.

If R is a commutative ring, then the above three notions are all the same.

Again, since multiplication is not commutative some care must be taken in the order of the factors.

It becomes commutative when the two functionals are the same.

If the arguments have to be matched in order, commutative is false.

Also, the multiplication operation in a field is required to be commutative.

Simple, light and cheap were commutative terms in the Chapman equation.

A simple with the individual keys is such a commutative cipher.

The commutative law of addition can be used to rearrange terms into any preferred order.

Let G be a group and A a commutative ring.

Connections on a module over a commutative ring always exist.

For this reason, ring addition is commutative in general.

Its group of points can be proven to be commutative.

More generally, every commutative topological group is also a uniform space.

For commutative rings, all three concepts coincide, but in general they are different.

In general, such functions will form a commutative ring.

Many properties of commutative localization hold in this more general setting.