Alvin was forced to agree, and while they were waiting began to read the report that the Associator had already produced.

It could only be found if the Associator was deliberately looking for it.

"We're only guessing," he said, "and the Associator hasn't any information at the moment.

Here we have left out the associator maps.

All I know is that this machine is an Associator.

He walked towards the Associator, above which the robot was still floating as if in studied indifference.

Both of these identities together imply that the associator is totally skew-symmetric.

This is equivalent to saying the associator vanishes for all such and .

The associator is alternating precisely when is an alternative ring.

Then, one day when they were struggling to reconcile two conflicting maps of the ancient world, the main Associator suddenly began to call for attention.

Conversely, any algebra whose associator is alternating is clearly alternative.

Polarizing it follows that the associator is antisymmetric in its three entries.

Of course it would be trivial to create an associator search program to find out, but Daisy thought of something more ambitious.

That is, the associativity requirement is now taken over by the associator of the hom-category.

You go to the "random associator" which is the NGO you're favoring at the time.

An alternating associator is always totally skew-symmetric.

This identity can be seen as the invariance of the associator under the exchange of the two variables and .

Historically, for many years the predominant view of the function of the nervous system was as a stimulus-response associator.

He thought of the Associator in Diaspar, and the seals that Alaine had set upon its knowledge.

One of the deacons from the church, a "voluntary random associator" went out and picked it up and brought it back.

The associator is symmetric in its two rightmost arguments when is a pre-Lie algebra.

Even those seals, he now believed, could be broken in time, and the Master Associator must be infinitely more complex than these little robot slaves.

The machine was hanging motionless above the Master Associator, its crystal lenses glittering in the silver light like a cluster of jewels.

Alternative algebras are so named because they are precisely the algebras for which the associator is alternating.

In abstract algebra, the term associator is used in different ways as a measure of the nonassociativity of an algebraic structure.